Least Common Multiple of 51/567, 732/591, 381/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/567, 732/591, 381/762 quickly i.e. 526796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/567, 732/591, 381/762 is 526796.

LCM(51/567, 732/591, 381/762) = 526796

LCM of 51/567, 732/591, 381/762

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 51/567,732/591,381/762

Given numbers are 51/567,732/591,381/762

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 51,732,381

Least Common Multiple of Numerators i.e. LCM of 51,732,381 is 1580388.

GCF of Denominators means GCF of 567,591,762 as per the given fractions.

GCF of 567,591,762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,732,381

LCM of Fractions 51/567,732/591,381/762 is 526796

3 51, 732, 381
17, 244, 127

∴ So the LCM of the given numbers is 3 x 17 x 244 x 127 = 1580388

Least Common Multiple of 51,732,381 with GCF Formula

Least Common Multiple of 51,732,381 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 51,732,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,732,381) = 3

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

GCF(51,732,381) x common factors =3 x 3 = 9

LCM(51,732,381) = ( 51 × 732 × 381 ) / 9

LCM(51,732,381) = 14223492 / 9

LCM(51,732,381) = 1580388


Lets's calculate GCF of 567,591,762

3 567, 591, 762
189, 197, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580388/3

Therefore the LCM of Fractions 51/567,732/591,381/762 is 526796

Greatest Common Factor of 567,591,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,591,762 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 567,591,762 . The biggest common factor number is the GCF number.
So the greatest common factor 567,591,762 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 51/567, 732/591, 381/762

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 51/567, 732/591, 381/762?

Answer: LCM of Numerators as per given numbers 51/567, 732/591, 381/762 is

LCM of Numerators i.e. for 51,732,381 is 1580388

GCF of denominators i.e. for 567,591,762 is 3.

Thus, LCM of Fractions is 526796.Finally, LCM of Fractions for 51/567, 732/591, 381/762 is 526796.