Least Common Multiple of 51/853, 78/632, 747/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/853, 78/632, 747/642 quickly i.e. 330174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/853, 78/632, 747/642 is 330174.

LCM(51/853, 78/632, 747/642) = 330174

LCM of 51/853, 78/632, 747/642

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 51/853,78/632,747/642

Given numbers are 51/853,78/632,747/642

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 51,78,747

Least Common Multiple of Numerators i.e. LCM of 51,78,747 is 330174.

GCF of Denominators means GCF of 853,632,642 as per the given fractions.

GCF of 853,632,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,78,747

LCM of Fractions 51/853,78/632,747/642 is 330174

3 51, 78, 747
17, 26, 249

∴ So the LCM of the given numbers is 3 x 17 x 26 x 249 = 330174

Least Common Multiple of 51,78,747 with GCF Formula

Least Common Multiple of 51,78,747 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 51,78,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,78,747) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(51,78,747) x common factors =3 x 3 = 9

LCM(51,78,747) = ( 51 × 78 × 747 ) / 9

LCM(51,78,747) = 2971566 / 9

LCM(51,78,747) = 330174


Lets's calculate GCF of 853,632,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330174/1

Therefore the LCM of Fractions 51/853,78/632,747/642 is 330174

Greatest Common Factor of 853,632,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,632,642 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 853,632,642 . The biggest common factor number is the GCF number.
So the greatest common factor 853,632,642 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 51/853, 78/632, 747/642

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 51/853, 78/632, 747/642?

Answer: LCM of Numerators as per given numbers 51/853, 78/632, 747/642 is

LCM of Numerators i.e. for 51,78,747 is 330174

GCF of denominators i.e. for 853,632,642 is 1.

Thus, LCM of Fractions is 330174.Finally, LCM of Fractions for 51/853, 78/632, 747/642 is 330174.