Least Common Multiple of 72/578, 957/317, 220/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/578, 957/317, 220/156 quickly i.e. 114840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/578, 957/317, 220/156 is 114840.

LCM(72/578, 957/317, 220/156) = 114840

LCM of 72/578, 957/317, 220/156

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 72/578,957/317,220/156

Given numbers are 72/578,957/317,220/156

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 72,957,220

Least Common Multiple of Numerators i.e. LCM of 72,957,220 is 114840.

GCF of Denominators means GCF of 578,317,156 as per the given fractions.

GCF of 578,317,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,957,220

LCM of Fractions 72/578,957/317,220/156 is 114840

2 72, 957, 220
2 36, 957, 110
3 18, 957, 55
11 6, 319, 55
6, 29, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 6 x 29 x 5 = 114840

Least Common Multiple of 72,957,220 with GCF Formula

Least Common Multiple of 72,957,220 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 72,957,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,957,220) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(72,957,220) x common factors =1 x 132 = 132

LCM(72,957,220) = ( 72 × 957 × 220 ) / 132

LCM(72,957,220) = 15158880 / 132

LCM(72,957,220) = 114840


Lets's calculate GCF of 578,317,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114840/1

Therefore the LCM of Fractions 72/578,957/317,220/156 is 114840

Greatest Common Factor of 578,317,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,317,156 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 578,317,156 . The biggest common factor number is the GCF number.
So the greatest common factor 578,317,156 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 72/578, 957/317, 220/156

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 72/578, 957/317, 220/156?

Answer: LCM of Numerators as per given numbers 72/578, 957/317, 220/156 is

LCM of Numerators i.e. for 72,957,220 is 114840

GCF of denominators i.e. for 578,317,156 is 1.

Thus, LCM of Fractions is 114840.Finally, LCM of Fractions for 72/578, 957/317, 220/156 is 114840.