Least Common Multiple of 56/42, 88/31, 112/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/42, 88/31, 112/672 quickly i.e. 1232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/42, 88/31, 112/672 is 1232.

LCM(56/42, 88/31, 112/672) = 1232

LCM of 56/42, 88/31, 112/672

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 56/42,88/31,112/672

Given numbers are 56/42,88/31,112/672

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 56,88,112

Least Common Multiple of Numerators i.e. LCM of 56,88,112 is 1232.

GCF of Denominators means GCF of 42,31,672 as per the given fractions.

GCF of 42,31,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,88,112

LCM of Fractions 56/42,88/31,112/672 is 1232

2 56, 88, 112
2 28, 44, 56
2 14, 22, 28
7 7, 11, 14
1, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 11 x 2 = 1232

Least Common Multiple of 56,88,112 with GCF Formula

Least Common Multiple of 56,88,112 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 56,88,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,88,112) = 8

common factors(in case of two or more numbers have common factors) = 56

GCF(56,88,112) x common factors =8 x 56 = 448

LCM(56,88,112) = ( 56 × 88 × 112 ) / 448

LCM(56,88,112) = 551936 / 448

LCM(56,88,112) = 1232


Lets's calculate GCF of 42,31,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1232/1

Therefore the LCM of Fractions 56/42,88/31,112/672 is 1232

Greatest Common Factor of 42,31,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,31,672 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 42,31,672 . The biggest common factor number is the GCF number.
So the greatest common factor 42,31,672 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 56/42, 88/31, 112/672

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 56/42, 88/31, 112/672?

Answer: LCM of Numerators as per given numbers 56/42, 88/31, 112/672 is

LCM of Numerators i.e. for 56,88,112 is 1232

GCF of denominators i.e. for 42,31,672 is 1.

Thus, LCM of Fractions is 1232.Finally, LCM of Fractions for 56/42, 88/31, 112/672 is 1232.