Least Common Multiple of 5929/977, 7865/7312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5929/977, 7865/7312 quickly i.e. 385385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5929/977, 7865/7312 is 385385.

LCM(5929/977, 7865/7312) = 385385

LCM of 5929/977, 7865/7312

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 5929/977,7865/7312

Given numbers are 5929/977,7865/7312

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 5929,7865

Least Common Multiple of Numerators i.e. LCM of 5929,7865 is 385385.

GCF of Denominators means GCF of 977,7312 as per the given fractions.

GCF of 977,7312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5929,7865

LCM of Fractions 5929/977,7865/7312 is 385385

11 5929, 7865
11 539, 715
49, 65

∴ So the LCM of the given numbers is 11 x 11 x 49 x 65 = 385385

Least Common Multiple of 5929,7865 with GCF Formula

Least Common Multiple of 5929,7865 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 5929,7865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5929,7865) = 121

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

GCF(5929,7865) x common factors =121 x 1 = 121

LCM(5929,7865) = ( 5929 × 7865 ) / 121

LCM(5929,7865) = 46631585 / 121

LCM(5929,7865) = 385385


Lets's calculate GCF of 977,7312

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385385/1

Therefore the LCM of Fractions 5929/977,7865/7312 is 385385

Greatest Common Factor of 977,7312 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,7312 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1,2,4,8,16,457,914,1828,3656,7312

Greatest Common Factor

We found the factors 977,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 977,7312 is 1.


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 5929/977, 7865/7312

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 5929/977, 7865/7312?

Answer: LCM of Numerators as per given numbers 5929/977, 7865/7312 is

LCM of Numerators i.e. for 5929,7865 is 385385

GCF of denominators i.e. for 977,7312 is 1.

Thus, LCM of Fractions is 385385.Finally, LCM of Fractions for 5929/977, 7865/7312 is 385385.