Least Common Multiple of 52/494, 654/132, 970/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/494, 654/132, 970/213 quickly i.e. 8246940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/494, 654/132, 970/213 is 8246940.

LCM(52/494, 654/132, 970/213) = 8246940

LCM of 52/494, 654/132, 970/213

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 52/494,654/132,970/213

Given numbers are 52/494,654/132,970/213

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 52,654,970

Least Common Multiple of Numerators i.e. LCM of 52,654,970 is 8246940.

GCF of Denominators means GCF of 494,132,213 as per the given fractions.

GCF of 494,132,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,654,970

LCM of Fractions 52/494,654/132,970/213 is 8246940

2 52, 654, 970
26, 327, 485

∴ So the LCM of the given numbers is 2 x 26 x 327 x 485 = 8246940

Least Common Multiple of 52,654,970 with GCF Formula

Least Common Multiple of 52,654,970 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 52,654,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,654,970) = 2

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

GCF(52,654,970) x common factors =2 x 2 = 4

LCM(52,654,970) = ( 52 × 654 × 970 ) / 4

LCM(52,654,970) = 32987760 / 4

LCM(52,654,970) = 8246940


Lets's calculate GCF of 494,132,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8246940/1

Therefore the LCM of Fractions 52/494,654/132,970/213 is 8246940

Greatest Common Factor of 494,132,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,132,213 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 494,132,213 . The biggest common factor number is the GCF number.
So the greatest common factor 494,132,213 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 52/494, 654/132, 970/213

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 52/494, 654/132, 970/213?

Answer: LCM of Numerators as per given numbers 52/494, 654/132, 970/213 is

LCM of Numerators i.e. for 52,654,970 is 8246940

GCF of denominators i.e. for 494,132,213 is 1.

Thus, LCM of Fractions is 8246940.Finally, LCM of Fractions for 52/494, 654/132, 970/213 is 8246940.