Least Common Multiple of 54/765, 871/536, 351/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/765, 871/536, 351/661 quickly i.e. 47034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/765, 871/536, 351/661 is 47034.

LCM(54/765, 871/536, 351/661) = 47034

LCM of 54/765, 871/536, 351/661

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 54/765,871/536,351/661

Given numbers are 54/765,871/536,351/661

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 54,871,351

Least Common Multiple of Numerators i.e. LCM of 54,871,351 is 47034.

GCF of Denominators means GCF of 765,536,661 as per the given fractions.

GCF of 765,536,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,871,351

LCM of Fractions 54/765,871/536,351/661 is 47034

3 54, 871, 351
3 18, 871, 117
3 6, 871, 39
13 2, 871, 13
2, 67, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 13 x 2 x 67 x 1 = 47034

Least Common Multiple of 54,871,351 with GCF Formula

Least Common Multiple of 54,871,351 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 54,871,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,871,351) = 1

common factors(in case of two or more numbers have common factors) = 351

GCF(54,871,351) x common factors =1 x 351 = 351

LCM(54,871,351) = ( 54 × 871 × 351 ) / 351

LCM(54,871,351) = 16508934 / 351

LCM(54,871,351) = 47034


Lets's calculate GCF of 765,536,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47034/1

Therefore the LCM of Fractions 54/765,871/536,351/661 is 47034

Greatest Common Factor of 765,536,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,536,661 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 765,536,661 . The biggest common factor number is the GCF number.
So the greatest common factor 765,536,661 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 54/765, 871/536, 351/661

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 54/765, 871/536, 351/661?

Answer: LCM of Numerators as per given numbers 54/765, 871/536, 351/661 is

LCM of Numerators i.e. for 54,871,351 is 47034

GCF of denominators i.e. for 765,536,661 is 1.

Thus, LCM of Fractions is 47034.Finally, LCM of Fractions for 54/765, 871/536, 351/661 is 47034.