Least Common Multiple of 736/676, 9615/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/676, 9615/744 quickly i.e. 1769160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/676, 9615/744 is 1769160.

LCM(736/676, 9615/744) = 1769160

LCM of 736/676, 9615/744

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 736/676,9615/744

Given numbers are 736/676,9615/744

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 736,9615

Least Common Multiple of Numerators i.e. LCM of 736,9615 is 7076640.

GCF of Denominators means GCF of 676,744 as per the given fractions.

GCF of 676,744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,9615

LCM of Fractions 736/676,9615/744 is 1769160

Given numbers has no common factors except 1. So, there LCM is their product i.e 7076640

Least Common Multiple of 736,9615 with GCF Formula

Least Common Multiple of 736,9615 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 736,9615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,9615) = 1

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

GCF(736,9615) x common factors =1 x 1 = 1

LCM(736,9615) = ( 736 × 9615 ) / 1

LCM(736,9615) = 7076640 / 1

LCM(736,9615) = 7076640


Lets's calculate GCF of 676,744

2 676, 744
2 338, 372
169, 186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7076640/4

Therefore the LCM of Fractions 736/676,9615/744 is 1769160

Greatest Common Factor of 676,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,744 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

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

Greatest Common Factor

We found the factors 676,744 . The biggest common factor number is the GCF number.
So the greatest common factor 676,744 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 736/676, 9615/744

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 736/676, 9615/744?

Answer: LCM of Numerators as per given numbers 736/676, 9615/744 is

LCM of Numerators i.e. for 736,9615 is 7076640

GCF of denominators i.e. for 676,744 is 4.

Thus, LCM of Fractions is 1769160.Finally, LCM of Fractions for 736/676, 9615/744 is 1769160.