Least Common Multiple of 51/32, 792/43, 638/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/32, 792/43, 638/358 quickly i.e. 390456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/32, 792/43, 638/358 is 390456.

LCM(51/32, 792/43, 638/358) = 390456

LCM of 51/32, 792/43, 638/358

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 51/32,792/43,638/358

Given numbers are 51/32,792/43,638/358

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 51,792,638

Least Common Multiple of Numerators i.e. LCM of 51,792,638 is 390456.

GCF of Denominators means GCF of 32,43,358 as per the given fractions.

GCF of 32,43,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,792,638

LCM of Fractions 51/32,792/43,638/358 is 390456

2 51, 792, 638
3 51, 396, 319
11 17, 132, 319
17, 12, 29

∴ So the LCM of the given numbers is 2 x 3 x 11 x 17 x 12 x 29 = 390456

Least Common Multiple of 51,792,638 with GCF Formula

Least Common Multiple of 51,792,638 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 51,792,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,792,638) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(51,792,638) x common factors =1 x 66 = 66

LCM(51,792,638) = ( 51 × 792 × 638 ) / 66

LCM(51,792,638) = 25770096 / 66

LCM(51,792,638) = 390456


Lets's calculate GCF of 32,43,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390456/1

Therefore the LCM of Fractions 51/32,792/43,638/358 is 390456

Greatest Common Factor of 32,43,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,43,358 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 32,43,358 . The biggest common factor number is the GCF number.
So the greatest common factor 32,43,358 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 51/32, 792/43, 638/358

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 51/32, 792/43, 638/358?

Answer: LCM of Numerators as per given numbers 51/32, 792/43, 638/358 is

LCM of Numerators i.e. for 51,792,638 is 390456

GCF of denominators i.e. for 32,43,358 is 1.

Thus, LCM of Fractions is 390456.Finally, LCM of Fractions for 51/32, 792/43, 638/358 is 390456.