Least Common Multiple of 421/75, 979/51, 387/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/75, 979/51, 387/384 quickly i.e. 53168511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/75, 979/51, 387/384 is 53168511.

LCM(421/75, 979/51, 387/384) = 53168511

LCM of 421/75, 979/51, 387/384

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 421/75,979/51,387/384

Given numbers are 421/75,979/51,387/384

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 421,979,387

Least Common Multiple of Numerators i.e. LCM of 421,979,387 is 159505533.

GCF of Denominators means GCF of 75,51,384 as per the given fractions.

GCF of 75,51,384 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,979,387

LCM of Fractions 421/75,979/51,387/384 is 53168511

Given numbers has no common factors except 1. So, there LCM is their product i.e 159505533

Least Common Multiple of 421,979,387 with GCF Formula

Least Common Multiple of 421,979,387 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 421,979,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,979,387) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(421,979,387) x common factors =1 x 1 = 1

LCM(421,979,387) = ( 421 × 979 × 387 ) / 1

LCM(421,979,387) = 159505533 / 1

LCM(421,979,387) = 159505533


Lets's calculate GCF of 75,51,384

3 75, 51, 384
25, 17, 128

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159505533/3

Therefore the LCM of Fractions 421/75,979/51,387/384 is 53168511

Greatest Common Factor of 75,51,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,51,384 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 75,51,384 . The biggest common factor number is the GCF number.
So the greatest common factor 75,51,384 is 3.


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 421/75, 979/51, 387/384

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 421/75, 979/51, 387/384?

Answer: LCM of Numerators as per given numbers 421/75, 979/51, 387/384 is

LCM of Numerators i.e. for 421,979,387 is 159505533

GCF of denominators i.e. for 75,51,384 is 3.

Thus, LCM of Fractions is 53168511.Finally, LCM of Fractions for 421/75, 979/51, 387/384 is 53168511.