Least Common Multiple of 616/72, 124/21, 466/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/72, 124/21, 466/413 quickly i.e. 4449368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/72, 124/21, 466/413 is 4449368.

LCM(616/72, 124/21, 466/413) = 4449368

LCM of 616/72, 124/21, 466/413

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 616/72,124/21,466/413

Given numbers are 616/72,124/21,466/413

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 616,124,466

Least Common Multiple of Numerators i.e. LCM of 616,124,466 is 4449368.

GCF of Denominators means GCF of 72,21,413 as per the given fractions.

GCF of 72,21,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,124,466

LCM of Fractions 616/72,124/21,466/413 is 4449368

2 616, 124, 466
2 308, 62, 233
154, 31, 233

∴ So the LCM of the given numbers is 2 x 2 x 154 x 31 x 233 = 4449368

Least Common Multiple of 616,124,466 with GCF Formula

Least Common Multiple of 616,124,466 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 616,124,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,124,466) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(616,124,466) x common factors =2 x 4 = 8

LCM(616,124,466) = ( 616 × 124 × 466 ) / 8

LCM(616,124,466) = 35594944 / 8

LCM(616,124,466) = 4449368


Lets's calculate GCF of 72,21,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4449368/1

Therefore the LCM of Fractions 616/72,124/21,466/413 is 4449368

Greatest Common Factor of 72,21,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,21,413 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 413

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

1,7,59,413

Greatest Common Factor

We found the factors 72,21,413 . The biggest common factor number is the GCF number.
So the greatest common factor 72,21,413 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 616/72, 124/21, 466/413

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 616/72, 124/21, 466/413?

Answer: LCM of Numerators as per given numbers 616/72, 124/21, 466/413 is

LCM of Numerators i.e. for 616,124,466 is 4449368

GCF of denominators i.e. for 72,21,413 is 1.

Thus, LCM of Fractions is 4449368.Finally, LCM of Fractions for 616/72, 124/21, 466/413 is 4449368.