Least Common Multiple of 972/549, 417/420, 233/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/549, 417/420, 233/141 quickly i.e. 10493388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/549, 417/420, 233/141 is 10493388.

LCM(972/549, 417/420, 233/141) = 10493388

LCM of 972/549, 417/420, 233/141

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 972/549,417/420,233/141

Given numbers are 972/549,417/420,233/141

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 972,417,233

Least Common Multiple of Numerators i.e. LCM of 972,417,233 is 31480164.

GCF of Denominators means GCF of 549,420,141 as per the given fractions.

GCF of 549,420,141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,417,233

LCM of Fractions 972/549,417/420,233/141 is 10493388

3 972, 417, 233
324, 139, 233

∴ So the LCM of the given numbers is 3 x 324 x 139 x 233 = 31480164

Least Common Multiple of 972,417,233 with GCF Formula

Least Common Multiple of 972,417,233 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 972,417,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,417,233) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(972,417,233) x common factors =1 x 3 = 3

LCM(972,417,233) = ( 972 × 417 × 233 ) / 3

LCM(972,417,233) = 94440492 / 3

LCM(972,417,233) = 31480164


Lets's calculate GCF of 549,420,141

3 549, 420, 141
183, 140, 47

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31480164/3

Therefore the LCM of Fractions 972/549,417/420,233/141 is 10493388

Greatest Common Factor of 549,420,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,420,141 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 549,420,141 . The biggest common factor number is the GCF number.
So the greatest common factor 549,420,141 is 3.


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 972/549, 417/420, 233/141

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 972/549, 417/420, 233/141?

Answer: LCM of Numerators as per given numbers 972/549, 417/420, 233/141 is

LCM of Numerators i.e. for 972,417,233 is 31480164

GCF of denominators i.e. for 549,420,141 is 3.

Thus, LCM of Fractions is 10493388.Finally, LCM of Fractions for 972/549, 417/420, 233/141 is 10493388.