Least Common Multiple of 31/416, 56/548, 118/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/416, 56/548, 118/776 quickly i.e. 25606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/416, 56/548, 118/776 is 25606.

LCM(31/416, 56/548, 118/776) = 25606

LCM of 31/416, 56/548, 118/776

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 31/416,56/548,118/776

Given numbers are 31/416,56/548,118/776

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 31,56,118

Least Common Multiple of Numerators i.e. LCM of 31,56,118 is 102424.

GCF of Denominators means GCF of 416,548,776 as per the given fractions.

GCF of 416,548,776 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,56,118

LCM of Fractions 31/416,56/548,118/776 is 25606

2 31, 56, 118
31, 28, 59

∴ So the LCM of the given numbers is 2 x 31 x 28 x 59 = 102424

Least Common Multiple of 31,56,118 with GCF Formula

Least Common Multiple of 31,56,118 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 31,56,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,56,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,56,118) x common factors =1 x 2 = 2

LCM(31,56,118) = ( 31 × 56 × 118 ) / 2

LCM(31,56,118) = 204848 / 2

LCM(31,56,118) = 102424


Lets's calculate GCF of 416,548,776

2 416, 548, 776
2 208, 274, 388
104, 137, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102424/4

Therefore the LCM of Fractions 31/416,56/548,118/776 is 25606

Greatest Common Factor of 416,548,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,548,776 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 416,548,776 . The biggest common factor number is the GCF number.
So the greatest common factor 416,548,776 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 31/416, 56/548, 118/776

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 31/416, 56/548, 118/776?

Answer: LCM of Numerators as per given numbers 31/416, 56/548, 118/776 is

LCM of Numerators i.e. for 31,56,118 is 102424

GCF of denominators i.e. for 416,548,776 is 4.

Thus, LCM of Fractions is 25606.Finally, LCM of Fractions for 31/416, 56/548, 118/776 is 25606.