Least Common Multiple of 77/532, 132/937, 949/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/532, 132/937, 949/114 quickly i.e. 876876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/532, 132/937, 949/114 is 876876.

LCM(77/532, 132/937, 949/114) = 876876

LCM of 77/532, 132/937, 949/114

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 77/532,132/937,949/114

Given numbers are 77/532,132/937,949/114

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 77,132,949

Least Common Multiple of Numerators i.e. LCM of 77,132,949 is 876876.

GCF of Denominators means GCF of 532,937,114 as per the given fractions.

GCF of 532,937,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,132,949

LCM of Fractions 77/532,132/937,949/114 is 876876

11 77, 132, 949
7, 12, 949

∴ So the LCM of the given numbers is 11 x 7 x 12 x 949 = 876876

Least Common Multiple of 77,132,949 with GCF Formula

Least Common Multiple of 77,132,949 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 77,132,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,132,949) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,132,949) x common factors =1 x 11 = 11

LCM(77,132,949) = ( 77 × 132 × 949 ) / 11

LCM(77,132,949) = 9645636 / 11

LCM(77,132,949) = 876876


Lets's calculate GCF of 532,937,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876876/1

Therefore the LCM of Fractions 77/532,132/937,949/114 is 876876

Greatest Common Factor of 532,937,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,937,114 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 532,937,114 . The biggest common factor number is the GCF number.
So the greatest common factor 532,937,114 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 77/532, 132/937, 949/114

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 77/532, 132/937, 949/114?

Answer: LCM of Numerators as per given numbers 77/532, 132/937, 949/114 is

LCM of Numerators i.e. for 77,132,949 is 876876

GCF of denominators i.e. for 532,937,114 is 1.

Thus, LCM of Fractions is 876876.Finally, LCM of Fractions for 77/532, 132/937, 949/114 is 876876.