Least Common Multiple of 87/39, 51/71, 425/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/39, 51/71, 425/608 quickly i.e. 36975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/39, 51/71, 425/608 is 36975.

LCM(87/39, 51/71, 425/608) = 36975

LCM of 87/39, 51/71, 425/608

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 87/39,51/71,425/608

Given numbers are 87/39,51/71,425/608

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 87,51,425

Least Common Multiple of Numerators i.e. LCM of 87,51,425 is 36975.

GCF of Denominators means GCF of 39,71,608 as per the given fractions.

GCF of 39,71,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,51,425

LCM of Fractions 87/39,51/71,425/608 is 36975

3 87, 51, 425
17 29, 17, 425
29, 1, 25

∴ So the LCM of the given numbers is 3 x 17 x 29 x 1 x 25 = 36975

Least Common Multiple of 87,51,425 with GCF Formula

Least Common Multiple of 87,51,425 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 87,51,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,51,425) = 1

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

GCF(87,51,425) x common factors =1 x 51 = 51

LCM(87,51,425) = ( 87 × 51 × 425 ) / 51

LCM(87,51,425) = 1885725 / 51

LCM(87,51,425) = 36975


Lets's calculate GCF of 39,71,608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36975/1

Therefore the LCM of Fractions 87/39,51/71,425/608 is 36975

Greatest Common Factor of 39,71,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,71,608 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 39,71,608 . The biggest common factor number is the GCF number.
So the greatest common factor 39,71,608 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 87/39, 51/71, 425/608

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 87/39, 51/71, 425/608?

Answer: LCM of Numerators as per given numbers 87/39, 51/71, 425/608 is

LCM of Numerators i.e. for 87,51,425 is 36975

GCF of denominators i.e. for 39,71,608 is 1.

Thus, LCM of Fractions is 36975.Finally, LCM of Fractions for 87/39, 51/71, 425/608 is 36975.