Least Common Multiple of 51/764, 17/231, 477/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/764, 17/231, 477/359 quickly i.e. 8109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/764, 17/231, 477/359 is 8109.

LCM(51/764, 17/231, 477/359) = 8109

LCM of 51/764, 17/231, 477/359

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 51/764,17/231,477/359

Given numbers are 51/764,17/231,477/359

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 51,17,477

Least Common Multiple of Numerators i.e. LCM of 51,17,477 is 8109.

GCF of Denominators means GCF of 764,231,359 as per the given fractions.

GCF of 764,231,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,17,477

LCM of Fractions 51/764,17/231,477/359 is 8109

3 51, 17, 477
17 17, 17, 159
1, 1, 159

∴ So the LCM of the given numbers is 3 x 17 x 1 x 1 x 159 = 8109

Least Common Multiple of 51,17,477 with GCF Formula

Least Common Multiple of 51,17,477 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 51,17,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,17,477) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,17,477) x common factors =1 x 51 = 51

LCM(51,17,477) = ( 51 × 17 × 477 ) / 51

LCM(51,17,477) = 413559 / 51

LCM(51,17,477) = 8109


Lets's calculate GCF of 764,231,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8109/1

Therefore the LCM of Fractions 51/764,17/231,477/359 is 8109

Greatest Common Factor of 764,231,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,231,359 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 764,231,359 . The biggest common factor number is the GCF number.
So the greatest common factor 764,231,359 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 51/764, 17/231, 477/359

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 51/764, 17/231, 477/359?

Answer: LCM of Numerators as per given numbers 51/764, 17/231, 477/359 is

LCM of Numerators i.e. for 51,17,477 is 8109

GCF of denominators i.e. for 764,231,359 is 1.

Thus, LCM of Fractions is 8109.Finally, LCM of Fractions for 51/764, 17/231, 477/359 is 8109.