Least Common Multiple of 724/82, 893/58, 432/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/82, 893/58, 432/116 quickly i.e. 34912728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/82, 893/58, 432/116 is 34912728.

LCM(724/82, 893/58, 432/116) = 34912728

LCM of 724/82, 893/58, 432/116

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 724/82,893/58,432/116

Given numbers are 724/82,893/58,432/116

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 724,893,432

Least Common Multiple of Numerators i.e. LCM of 724,893,432 is 69825456.

GCF of Denominators means GCF of 82,58,116 as per the given fractions.

GCF of 82,58,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,893,432

LCM of Fractions 724/82,893/58,432/116 is 34912728

2 724, 893, 432
2 362, 893, 216
181, 893, 108

∴ So the LCM of the given numbers is 2 x 2 x 181 x 893 x 108 = 69825456

Least Common Multiple of 724,893,432 with GCF Formula

Least Common Multiple of 724,893,432 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 724,893,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,893,432) = 1

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

GCF(724,893,432) x common factors =1 x 4 = 4

LCM(724,893,432) = ( 724 × 893 × 432 ) / 4

LCM(724,893,432) = 279301824 / 4

LCM(724,893,432) = 69825456


Lets's calculate GCF of 82,58,116

2 82, 58, 116
41, 29, 58

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69825456/2

Therefore the LCM of Fractions 724/82,893/58,432/116 is 34912728

Greatest Common Factor of 82,58,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,58,116 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 82,58,116 . The biggest common factor number is the GCF number.
So the greatest common factor 82,58,116 is 2.


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 724/82, 893/58, 432/116

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 724/82, 893/58, 432/116?

Answer: LCM of Numerators as per given numbers 724/82, 893/58, 432/116 is

LCM of Numerators i.e. for 724,893,432 is 69825456

GCF of denominators i.e. for 82,58,116 is 2.

Thus, LCM of Fractions is 34912728.Finally, LCM of Fractions for 724/82, 893/58, 432/116 is 34912728.