Least Common Multiple of 87/906, 90/308, 511/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/906, 90/308, 511/130 quickly i.e. 666855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/906, 90/308, 511/130 is 666855.

LCM(87/906, 90/308, 511/130) = 666855

LCM of 87/906, 90/308, 511/130

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 87/906,90/308,511/130

Given numbers are 87/906,90/308,511/130

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 87,90,511

Least Common Multiple of Numerators i.e. LCM of 87,90,511 is 1333710.

GCF of Denominators means GCF of 906,308,130 as per the given fractions.

GCF of 906,308,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,90,511

LCM of Fractions 87/906,90/308,511/130 is 666855

3 87, 90, 511
29, 30, 511

∴ So the LCM of the given numbers is 3 x 29 x 30 x 511 = 1333710

Least Common Multiple of 87,90,511 with GCF Formula

Least Common Multiple of 87,90,511 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 87,90,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,90,511) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,90,511) x common factors =1 x 3 = 3

LCM(87,90,511) = ( 87 × 90 × 511 ) / 3

LCM(87,90,511) = 4001130 / 3

LCM(87,90,511) = 1333710


Lets's calculate GCF of 906,308,130

2 906, 308, 130
453, 154, 65

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1333710/2

Therefore the LCM of Fractions 87/906,90/308,511/130 is 666855

Greatest Common Factor of 906,308,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,308,130 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 906,308,130 . The biggest common factor number is the GCF number.
So the greatest common factor 906,308,130 is 2.


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 87/906, 90/308, 511/130

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 87/906, 90/308, 511/130?

Answer: LCM of Numerators as per given numbers 87/906, 90/308, 511/130 is

LCM of Numerators i.e. for 87,90,511 is 1333710

GCF of denominators i.e. for 906,308,130 is 2.

Thus, LCM of Fractions is 666855.Finally, LCM of Fractions for 87/906, 90/308, 511/130 is 666855.