Least Common Multiple of 87/39, 34/509, 310/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/39, 34/509, 310/418 quickly i.e. 458490 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, 34/509, 310/418 is 458490.

LCM(87/39, 34/509, 310/418) = 458490

LCM of 87/39, 34/509, 310/418

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 87/39,34/509,310/418

Given numbers are 87/39,34/509,310/418

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 87,34,310

Least Common Multiple of Numerators i.e. LCM of 87,34,310 is 458490.

GCF of Denominators means GCF of 39,509,418 as per the given fractions.

GCF of 39,509,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,34,310

LCM of Fractions 87/39,34/509,310/418 is 458490

2 87, 34, 310
87, 17, 155

∴ So the LCM of the given numbers is 2 x 87 x 17 x 155 = 458490

Least Common Multiple of 87,34,310 with GCF Formula

Least Common Multiple of 87,34,310 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 87,34,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,34,310) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,34,310) x common factors =1 x 2 = 2

LCM(87,34,310) = ( 87 × 34 × 310 ) / 2

LCM(87,34,310) = 916980 / 2

LCM(87,34,310) = 458490


Lets's calculate GCF of 39,509,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458490/1

Therefore the LCM of Fractions 87/39,34/509,310/418 is 458490

Greatest Common Factor of 39,509,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,509,418 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 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 39,509,418 . The biggest common factor number is the GCF number.
So the greatest common factor 39,509,418 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, 34/509, 310/418

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, 34/509, 310/418?

Answer: LCM of Numerators as per given numbers 87/39, 34/509, 310/418 is

LCM of Numerators i.e. for 87,34,310 is 458490

GCF of denominators i.e. for 39,509,418 is 1.

Thus, LCM of Fractions is 458490.Finally, LCM of Fractions for 87/39, 34/509, 310/418 is 458490.