Sage-Tips

What is the shortcut to find LCM?

1st) Write the two numbers as a fraction, with the smaller number as numerator. Then reduce the fraction to lowest terms. 2nd) Multiply the original fraction by the reciprocal of the reduced fraction. The fraction that you wind up with has the LCM as both the numerator and denominator.

How do you do LCM and HCF in maths?

The formula that shows the relationship between their LCM and HCF is: LCM (a,b) × HCF (a,b) = a × b. For example, let us take two numbers 12 and 8. Let us use the formula: LCM (12,8) × HCF (12,8) = 12 × 8. The LCM of 12 and 8 is 24; and the HCF of 12 and 8 is 4.

How do you find HCF short tricks?

Division Method to find HCF (Shortcut):

1. Step 1: Divide the larger number by the smaller number.
2. Step 2: Divisor of step 1 is divided by its remainder.
3. Step 3: Divisor of step 2 is divided by its remainder.
4. Step 4: Divisor of the last step is the HCF.
5. e.g. Find the HCF of 108 and 288.

How to find least common multiple?

First,write the numbers,separated by commas

Now divide the numbers,with the smallest prime number.

If any number is not divisible,then write down that number and proceed further

Keep on dividing the row of numbers by prime numbers,unless we get the results as 1 in the complete row

Now LCM of the numbers will equal to the product of all the prime numbers we obtained in division method

How do you find the least common multiple?

To find the least common multiple of two numbers, factor the two numbers, noting the frequency of the prime factors, and then multiply the most repeated factors together. Perform division to check your answer when complete.

How to calculate HCF?

Write down each number as the product of its prime factors.

Now,list down the common factors from the given numbers.

The largest number,which is found in the common factors is the HCF of the given numbers.

What is the least common multiple of 10 and 12?

Least Common Multiple of 10 and 12. Least common multiple (LCM) of 10 and 12 is 60. LCM(10,12) = 60.