Least Common Multiple of 7976/744, 6280/5604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7976/744, 6280/5604 quickly i.e. 6261160/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7976/744, 6280/5604 is 6261160/12.

LCM(7976/744, 6280/5604) = 6261160/12

LCM of 7976/744, 6280/5604

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 7976/744,6280/5604

Given numbers are 7976/744,6280/5604

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 7976,6280

Least Common Multiple of Numerators i.e. LCM of 7976,6280 is 6261160.

GCF of Denominators means GCF of 744,5604 as per the given fractions.

GCF of 744,5604 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7976,6280

LCM of Fractions 7976/744,6280/5604 is 6261160/12

2 7976, 6280
2 3988, 3140
2 1994, 1570
997, 785

∴ So the LCM of the given numbers is 2 x 2 x 2 x 997 x 785 = 6261160

Least Common Multiple of 7976,6280 with GCF Formula

Least Common Multiple of 7976,6280 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 7976,6280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7976,6280) = 8

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

GCF(7976,6280) x common factors =8 x 1 = 8

LCM(7976,6280) = ( 7976 × 6280 ) / 8

LCM(7976,6280) = 50089280 / 8

LCM(7976,6280) = 6261160


Lets's calculate GCF of 744,5604

2 744, 5604
2 372, 2802
3 186, 1401
62, 467

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6261160/12

Therefore the LCM of Fractions 7976/744,6280/5604 is 6261160/12

Greatest Common Factor of 744,5604 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,5604 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1,2,3,4,6,12,467,934,1401,1868,2802,5604

Greatest Common Factor

We found the factors 744,5604 . The biggest common factor number is the GCF number.
So the greatest common factor 744,5604 is 12.


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 7976/744, 6280/5604

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 7976/744, 6280/5604?

Answer: LCM of Numerators as per given numbers 7976/744, 6280/5604 is

LCM of Numerators i.e. for 7976,6280 is 6261160

GCF of denominators i.e. for 744,5604 is 12.

Thus, LCM of Fractions is 6261160/12.Finally, LCM of Fractions for 7976/744, 6280/5604 is 6261160/12.