Least Common Multiple of 21/716, 2488/2772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/716, 2488/2772 quickly i.e. 13062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/716, 2488/2772 is 13062.

LCM(21/716, 2488/2772) = 13062

LCM of 21/716, 2488/2772

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 21/716,2488/2772

Given numbers are 21/716,2488/2772

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 21,2488

Least Common Multiple of Numerators i.e. LCM of 21,2488 is 52248.

GCF of Denominators means GCF of 716,2772 as per the given fractions.

GCF of 716,2772 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,2488

LCM of Fractions 21/716,2488/2772 is 13062

Given numbers has no common factors except 1. So, there LCM is their product i.e 52248

Least Common Multiple of 21,2488 with GCF Formula

Least Common Multiple of 21,2488 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,2488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,2488) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,2488) x common factors =1 x 1 = 1

LCM(21,2488) = ( 21 × 2488 ) / 1

LCM(21,2488) = 52248 / 1

LCM(21,2488) = 52248


Lets's calculate GCF of 716,2772

2 716, 2772
2 358, 1386
179, 693

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52248/4

Therefore the LCM of Fractions 21/716,2488/2772 is 13062

Greatest Common Factor of 716,2772 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,2772 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772

Greatest Common Factor

We found the factors 716,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 716,2772 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 21/716, 2488/2772

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 21/716, 2488/2772?

Answer: LCM of Numerators as per given numbers 21/716, 2488/2772 is

LCM of Numerators i.e. for 21,2488 is 52248

GCF of denominators i.e. for 716,2772 is 4.

Thus, LCM of Fractions is 13062.Finally, LCM of Fractions for 21/716, 2488/2772 is 13062.