Least Common Multiple of 1057/771, 3976/8655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1057/771, 3976/8655 quickly i.e. 600376/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1057/771, 3976/8655 is 600376/3.

LCM(1057/771, 3976/8655) = 600376/3

LCM of 1057/771, 3976/8655

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 1057/771,3976/8655

Given numbers are 1057/771,3976/8655

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 1057,3976

Least Common Multiple of Numerators i.e. LCM of 1057,3976 is 600376.

GCF of Denominators means GCF of 771,8655 as per the given fractions.

GCF of 771,8655 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1057,3976

LCM of Fractions 1057/771,3976/8655 is 600376/3

7 1057, 3976
151, 568

∴ So the LCM of the given numbers is 7 x 151 x 568 = 600376

Least Common Multiple of 1057,3976 with GCF Formula

Least Common Multiple of 1057,3976 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 1057,3976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1057,3976) = 7

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

GCF(1057,3976) x common factors =7 x 1 = 7

LCM(1057,3976) = ( 1057 × 3976 ) / 7

LCM(1057,3976) = 4202632 / 7

LCM(1057,3976) = 600376


Lets's calculate GCF of 771,8655

3 771, 8655
257, 2885

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600376/3

Therefore the LCM of Fractions 1057/771,3976/8655 is 600376/3

Greatest Common Factor of 771,8655 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,8655 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 8655

List of positive integer factors of 8655 that divides 8655 without a remainder.

1,3,5,15,577,1731,2885,8655

Greatest Common Factor

We found the factors 771,8655 . The biggest common factor number is the GCF number.
So the greatest common factor 771,8655 is 3.


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 1057/771, 3976/8655

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 1057/771, 3976/8655?

Answer: LCM of Numerators as per given numbers 1057/771, 3976/8655 is

LCM of Numerators i.e. for 1057,3976 is 600376

GCF of denominators i.e. for 771,8655 is 3.

Thus, LCM of Fractions is 600376/3.Finally, LCM of Fractions for 1057/771, 3976/8655 is 600376/3.