Sage-Tips

How do you find the product of LCM and HCF?

(i) The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers. Consider two numbers A and B, then. (ii) The LCM of given co-prime numbers is equal to the product of the numbers since the HCF of co-prime numbers is 1. Example 2: 17 and 23 are two co-prime numbers.

What two numbers have HCF is 6 and LCM is 15?

It’s not possible to find out 2 numbers whose HCF is 6 and LCM is 15, because HCF must be a factor of LCM. And 6 is not a factor of 15. Thanks for contributing an answer to Mathematics Stack Exchange!

What is the smallest possible pair of numbers between HCF and Union?

Intersection = HCF and Union = LCM $$6 = 2 imes 3$$ $$15 = 3 imes 5$$ Intersection $= 2,3$ Union $= 2,3,5$ Therefore a possible pair when separated out correctly could be: $$a = 2 imes 3$$ $$b = 2 imes 3 imes 5$$ This is probably the smallest possible pair of such numbers.

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.

For example: Find HCF and LCM of 9 and 12. And verify HCF × LCM = Product of the two numbers. Product of 9 and 12 = 9 x 12 = 108. Hence, HCF(9, 12) × LCM(9, 12) = Product of 9 and 12.

What 2 numbers have the HCF of 3?

(3, 90), (6, 45), (9, 30) and (15, 18). All the above mentioned pairs of numbers have 3 as HCF and 90 as LCM.

What is the HCF of 32 and 36?

HCF of 32, 36 by Euclid’s Divison lemma method can be determined easily by using our free online HCF using Euclid’s Divison Lemma Calculator and get the result in a fraction of seconds ie., 4 the largest factor that exactly divides the numbers with r=0. Highest common factor (HCF) of 32, 36 is 4.

What is the remainder if 825 is divided by 77?

So.. 6 is the remainder of this division.

What is the relation between HCF and LCM of 3 numbers?

Relation between HCF and LCM of 3 Numbers Suppose p,q,r are the three numbers, then to find LCM of these three numbers we will multiply the product of numbers (p×q×r) with HCF of numbers(p,q,r) and divide it by the product of HCF(p,q), HCF(q,r) and HCF(r,p).