Least Common Multiple of 847/53, 642/30, 924/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 847/53, 642/30, 924/723 quickly i.e. 1087548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 847/53, 642/30, 924/723 is 1087548.

LCM(847/53, 642/30, 924/723) = 1087548

LCM of 847/53, 642/30, 924/723

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 847/53,642/30,924/723

Given numbers are 847/53,642/30,924/723

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 847,642,924

Least Common Multiple of Numerators i.e. LCM of 847,642,924 is 1087548.

GCF of Denominators means GCF of 53,30,723 as per the given fractions.

GCF of 53,30,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 847,642,924

LCM of Fractions 847/53,642/30,924/723 is 1087548

2 847, 642, 924
3 847, 321, 462
7 847, 107, 154
11 121, 107, 22
11, 107, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 11 x 107 x 2 = 1087548

Least Common Multiple of 847,642,924 with GCF Formula

Least Common Multiple of 847,642,924 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 847,642,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,642,924) = 1

common factors(in case of two or more numbers have common factors) = 462

GCF(847,642,924) x common factors =1 x 462 = 462

LCM(847,642,924) = ( 847 × 642 × 924 ) / 462

LCM(847,642,924) = 502447176 / 462

LCM(847,642,924) = 1087548


Lets's calculate GCF of 53,30,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1087548/1

Therefore the LCM of Fractions 847/53,642/30,924/723 is 1087548

Greatest Common Factor of 53,30,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,30,723 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 53,30,723 . The biggest common factor number is the GCF number.
So the greatest common factor 53,30,723 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 847/53, 642/30, 924/723

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 847/53, 642/30, 924/723?

Answer: LCM of Numerators as per given numbers 847/53, 642/30, 924/723 is

LCM of Numerators i.e. for 847,642,924 is 1087548

GCF of denominators i.e. for 53,30,723 is 1.

Thus, LCM of Fractions is 1087548.Finally, LCM of Fractions for 847/53, 642/30, 924/723 is 1087548.