Least Common Multiple of 252/253, 156/491, 546/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/253, 156/491, 546/297 quickly i.e. 3276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/253, 156/491, 546/297 is 3276.

LCM(252/253, 156/491, 546/297) = 3276

LCM of 252/253, 156/491, 546/297

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 252/253,156/491,546/297

Given numbers are 252/253,156/491,546/297

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 252,156,546

Least Common Multiple of Numerators i.e. LCM of 252,156,546 is 3276.

GCF of Denominators means GCF of 253,491,297 as per the given fractions.

GCF of 253,491,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,156,546

LCM of Fractions 252/253,156/491,546/297 is 3276

2 252, 156, 546
2 126, 78, 273
3 63, 39, 273
7 21, 13, 91
13 3, 13, 13
3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 3 x 1 x 1 = 3276

Least Common Multiple of 252,156,546 with GCF Formula

Least Common Multiple of 252,156,546 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 252,156,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,156,546) = 6

common factors(in case of two or more numbers have common factors) = 1092

GCF(252,156,546) x common factors =6 x 1092 = 6552

LCM(252,156,546) = ( 252 × 156 × 546 ) / 6552

LCM(252,156,546) = 21464352 / 6552

LCM(252,156,546) = 3276


Lets's calculate GCF of 253,491,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3276/1

Therefore the LCM of Fractions 252/253,156/491,546/297 is 3276

Greatest Common Factor of 253,491,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,491,297 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 253,491,297 . The biggest common factor number is the GCF number.
So the greatest common factor 253,491,297 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 252/253, 156/491, 546/297

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 252/253, 156/491, 546/297?

Answer: LCM of Numerators as per given numbers 252/253, 156/491, 546/297 is

LCM of Numerators i.e. for 252,156,546 is 3276

GCF of denominators i.e. for 253,491,297 is 1.

Thus, LCM of Fractions is 3276.Finally, LCM of Fractions for 252/253, 156/491, 546/297 is 3276.