Least Common Multiple of 51/519, 59/237, 935/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/519, 59/237, 935/375 quickly i.e. 55165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/519, 59/237, 935/375 is 55165.

LCM(51/519, 59/237, 935/375) = 55165

LCM of 51/519, 59/237, 935/375

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 51/519,59/237,935/375

Given numbers are 51/519,59/237,935/375

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 51,59,935

Least Common Multiple of Numerators i.e. LCM of 51,59,935 is 165495.

GCF of Denominators means GCF of 519,237,375 as per the given fractions.

GCF of 519,237,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,59,935

LCM of Fractions 51/519,59/237,935/375 is 55165

17 51, 59, 935
3, 59, 55

∴ So the LCM of the given numbers is 17 x 3 x 59 x 55 = 165495

Least Common Multiple of 51,59,935 with GCF Formula

Least Common Multiple of 51,59,935 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 51,59,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,59,935) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,59,935) x common factors =1 x 17 = 17

LCM(51,59,935) = ( 51 × 59 × 935 ) / 17

LCM(51,59,935) = 2813415 / 17

LCM(51,59,935) = 165495


Lets's calculate GCF of 519,237,375

3 519, 237, 375
173, 79, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165495/3

Therefore the LCM of Fractions 51/519,59/237,935/375 is 55165

Greatest Common Factor of 519,237,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,237,375 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 519,237,375 . The biggest common factor number is the GCF number.
So the greatest common factor 519,237,375 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 51/519, 59/237, 935/375

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 51/519, 59/237, 935/375?

Answer: LCM of Numerators as per given numbers 51/519, 59/237, 935/375 is

LCM of Numerators i.e. for 51,59,935 is 165495

GCF of denominators i.e. for 519,237,375 is 3.

Thus, LCM of Fractions is 55165.Finally, LCM of Fractions for 51/519, 59/237, 935/375 is 55165.