Sage-Tips

What is the relation between HCF and LCM?

Go through the relation between HCF and LCM, solve the problem using the relations in an easy way. (i) The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers. From the given property, LCM × HCF of a number = Product of the Numbers Consider two numbers A and B, then.

What is the LCM of two numbers?

Lowest Common Factor (LCM) Definition: LCM stands for Lowest or Least Common Multiple. In other words, the LCM of two or more numbers is the smallest positive integer divisible by all the given numbers. Example: Consider this as an example; the LCM of 12 and 15 is 60.

What is the LCM of 12 and 18 using long division?

Example: LCM of the numbers 12 and 18. So, after performing the long division method, you get the LCM of the number 12 and 18 = 2 × 3 × 2 × 3 = 36 LCM and HCF with Co-prime Numbers LCM of the Co – Prime numbers (m, n) = product of two numbers (m, n)

How to find the HCF of more than 3 numbers?

The above steps can also be used to find the HCF of more than 3 numbers. Example: Find the HCF of 144 and 160 by division method. Since 160>144, so the dividend will be 160 and the divisor will be 144. Hence, we can see here 16 is the highest number which divides 160 and 144. To calculate the LCM of two numbers 60 and 45.

https://www.youtube.com/watch?v=SjUD8BMFsH4

How do you find the HCF of two fractions?

For two fractions, HCF = HCF (Numerators) / LCM (Denominators) LCM = LCM (Numerators) / HCF (Denominators) A natural number , greater than 1, can always be written as sum of greatest common divisor (gcd) and lowest common multiple (lcm) of two natural numbers , i.e. , x=gcd (a,b)+lcm (a,b). Let’s prove it.

How do you find the HCF of 5 11 ratio?

Question 1 : Two numbers are in the ratio of 5:11. If their HCF is 7, find the numbers. Solution : Let the numbers be 5m and 11m. Since 5:11 is already the reduced ratio, ‘m’ has to be the HCF. So, the numbers are 5 x 7 = 35 and 11 x 7 = 77.

What is the HCF and lcm of 25 35 and 45?

From the above expression, we can say 5 is the only common factor for all the three numbers. Therefore, 5 is the HCF of 25, 35 and 45. Example: Find the Least Common Multiple of 36 and 44. Solution: Given, two numbers 36 and 44. Let us find out the LCM, by division method.

What is the HCF of 12 and 15?

For example, the HCF of 12 and 15 is 3. Because 3 is the only common factor for both the numbers 12 and 15 and it is the largest number that divides both the numbers. The followings are the relation between HCF and LCM. Go through the relation between HCF and LCM, solve the problem using the relations in an easy way.

What is the least common multiple (LCM)?

The Least Common Multiple (LCM) is defined as the smallest number that is a multiple of all the numbers from a group of numbers. Consider an example, the LCM of 12 and 15 is 60.

How to find the least common factor (LCM) of two numbers?

Out of other ways, one way to find the LCM of given numbers is as below: List the prime factors of each number first. Then multiply each factor the most number of times it occurs in any number. If the same multiple occurs more than once in both the given numbers, then multiply the factor the most number of times it occurs.

https://www.youtube.com/watch?v=l5aykYw4Kos

What is the LCM and HCF of 288?

The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is : 30. There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type.

What is the sequence LCM of two numbers?

The sequence LCM of two numbers is 936. If their HCF is 4 and one of the numbers is 72, what is the other? One number is 25\% of another number. The larger number is 12 more than the smaller. What is the larger number? Question One number is 25\% of another number. The larger number is 12 more than the smaller. What is the larger number? Given.

What is the LCM and HCF of 2300 and 3500?

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is 4. The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is 5. The ninth term of the sequence 0, 3, 8, 15, 24, 35, …… is 6. LCM of two numbers is 225 and their HCF is 5.