Least Common Multiple of 442/413, 118/612, 931/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/413, 118/612, 931/552 quickly i.e. 24278618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/413, 118/612, 931/552 is 24278618.

LCM(442/413, 118/612, 931/552) = 24278618

LCM of 442/413, 118/612, 931/552

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 442/413,118/612,931/552

Given numbers are 442/413,118/612,931/552

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 442,118,931

Least Common Multiple of Numerators i.e. LCM of 442,118,931 is 24278618.

GCF of Denominators means GCF of 413,612,552 as per the given fractions.

GCF of 413,612,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,118,931

LCM of Fractions 442/413,118/612,931/552 is 24278618

2 442, 118, 931
221, 59, 931

∴ So the LCM of the given numbers is 2 x 221 x 59 x 931 = 24278618

Least Common Multiple of 442,118,931 with GCF Formula

Least Common Multiple of 442,118,931 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 442,118,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,118,931) = 1

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

GCF(442,118,931) x common factors =1 x 2 = 2

LCM(442,118,931) = ( 442 × 118 × 931 ) / 2

LCM(442,118,931) = 48557236 / 2

LCM(442,118,931) = 24278618


Lets's calculate GCF of 413,612,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24278618/1

Therefore the LCM of Fractions 442/413,118/612,931/552 is 24278618

Greatest Common Factor of 413,612,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,612,552 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 413,612,552 . The biggest common factor number is the GCF number.
So the greatest common factor 413,612,552 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 442/413, 118/612, 931/552

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 442/413, 118/612, 931/552?

Answer: LCM of Numerators as per given numbers 442/413, 118/612, 931/552 is

LCM of Numerators i.e. for 442,118,931 is 24278618

GCF of denominators i.e. for 413,612,552 is 1.

Thus, LCM of Fractions is 24278618.Finally, LCM of Fractions for 442/413, 118/612, 931/552 is 24278618.