Least Common Multiple of 52/325, 158/545, 218/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/325, 158/545, 218/971 quickly i.e. 447772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/325, 158/545, 218/971 is 447772.

LCM(52/325, 158/545, 218/971) = 447772

LCM of 52/325, 158/545, 218/971

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 52/325,158/545,218/971

Given numbers are 52/325,158/545,218/971

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 52,158,218

Least Common Multiple of Numerators i.e. LCM of 52,158,218 is 447772.

GCF of Denominators means GCF of 325,545,971 as per the given fractions.

GCF of 325,545,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,158,218

LCM of Fractions 52/325,158/545,218/971 is 447772

2 52, 158, 218
26, 79, 109

∴ So the LCM of the given numbers is 2 x 26 x 79 x 109 = 447772

Least Common Multiple of 52,158,218 with GCF Formula

Least Common Multiple of 52,158,218 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 52,158,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,158,218) = 2

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

GCF(52,158,218) x common factors =2 x 2 = 4

LCM(52,158,218) = ( 52 × 158 × 218 ) / 4

LCM(52,158,218) = 1791088 / 4

LCM(52,158,218) = 447772


Lets's calculate GCF of 325,545,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447772/1

Therefore the LCM of Fractions 52/325,158/545,218/971 is 447772

Greatest Common Factor of 325,545,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,545,971 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 325,545,971 . The biggest common factor number is the GCF number.
So the greatest common factor 325,545,971 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 52/325, 158/545, 218/971

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 52/325, 158/545, 218/971?

Answer: LCM of Numerators as per given numbers 52/325, 158/545, 218/971 is

LCM of Numerators i.e. for 52,158,218 is 447772

GCF of denominators i.e. for 325,545,971 is 1.

Thus, LCM of Fractions is 447772.Finally, LCM of Fractions for 52/325, 158/545, 218/971 is 447772.