Least Common Multiple of 5/18, 7/88, 31/30, 56/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/18, 7/88, 31/30, 56/220 quickly i.e. 4340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/18, 7/88, 31/30, 56/220 is 4340.

LCM(5/18, 7/88, 31/30, 56/220) = 4340

LCM of 5/18, 7/88, 31/30, 56/220

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 5/18,7/88,31/30,56/220

Given numbers are 5/18,7/88,31/30,56/220

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 5,7,31,56

Least Common Multiple of Numerators i.e. LCM of 5,7,31,56 is 8680.

GCF of Denominators means GCF of 18,88,30,220 as per the given fractions.

GCF of 18,88,30,220 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,7,31,56

LCM of Fractions 5/18,7/88,31/30,56/220 is 4340

7 5, 7, 31, 56
5, 1, 31, 8

∴ So the LCM of the given numbers is 7 x 5 x 1 x 31 x 8 = 8680

Least Common Multiple of 5,7,31,56 with GCF Formula

Least Common Multiple of 5,7,31,56 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 5,7,31,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,7,31,56) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(5,7,31,56) x common factors =1 x 7 = 7

LCM(5,7,31,56) = ( 5 × 7 × 31 × 56 ) / 7

LCM(5,7,31,56) = 60760 / 7

LCM(5,7,31,56) = 8680


Lets's calculate GCF of 18,88,30,220

2 18, 88, 30, 220
9, 44, 15, 110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8680/2

Therefore the LCM of Fractions 5/18,7/88,31/30,56/220 is 4340

Greatest Common Factor of 18,88,30,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,88,30,220 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 18,88,30,220 . The biggest common factor number is the GCF number.
So the greatest common factor 18,88,30,220 is 2.


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 5/18, 7/88, 31/30, 56/220

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 5/18, 7/88, 31/30, 56/220?

Answer: LCM of Numerators as per given numbers 5/18, 7/88, 31/30, 56/220 is

LCM of Numerators i.e. for 5,7,31,56 is 8680

GCF of denominators i.e. for 18,88,30,220 is 2.

Thus, LCM of Fractions is 4340.Finally, LCM of Fractions for 5/18, 7/88, 31/30, 56/220 is 4340.