Least Common Multiple of 51/27, 77/57, 515/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/27, 77/57, 515/456 quickly i.e. 674135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/27, 77/57, 515/456 is 674135.

LCM(51/27, 77/57, 515/456) = 674135

LCM of 51/27, 77/57, 515/456

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 51/27,77/57,515/456

Given numbers are 51/27,77/57,515/456

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 51,77,515

Least Common Multiple of Numerators i.e. LCM of 51,77,515 is 2022405.

GCF of Denominators means GCF of 27,57,456 as per the given fractions.

GCF of 27,57,456 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,77,515

LCM of Fractions 51/27,77/57,515/456 is 674135

Given numbers has no common factors except 1. So, there LCM is their product i.e 2022405

Least Common Multiple of 51,77,515 with GCF Formula

Least Common Multiple of 51,77,515 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 51,77,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,77,515) = 1

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

GCF(51,77,515) x common factors =1 x 1 = 1

LCM(51,77,515) = ( 51 × 77 × 515 ) / 1

LCM(51,77,515) = 2022405 / 1

LCM(51,77,515) = 2022405


Lets's calculate GCF of 27,57,456

3 27, 57, 456
9, 19, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2022405/3

Therefore the LCM of Fractions 51/27,77/57,515/456 is 674135

Greatest Common Factor of 27,57,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,57,456 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 27,57,456 . The biggest common factor number is the GCF number.
So the greatest common factor 27,57,456 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 51/27, 77/57, 515/456

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 51/27, 77/57, 515/456?

Answer: LCM of Numerators as per given numbers 51/27, 77/57, 515/456 is

LCM of Numerators i.e. for 51,77,515 is 2022405

GCF of denominators i.e. for 27,57,456 is 3.

Thus, LCM of Fractions is 674135.Finally, LCM of Fractions for 51/27, 77/57, 515/456 is 674135.