Least Common Multiple of 87/154, 339/568, 690/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/154, 339/568, 690/772 quickly i.e. 1130565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/154, 339/568, 690/772 is 1130565.

LCM(87/154, 339/568, 690/772) = 1130565

LCM of 87/154, 339/568, 690/772

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 87/154,339/568,690/772

Given numbers are 87/154,339/568,690/772

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 87,339,690

Least Common Multiple of Numerators i.e. LCM of 87,339,690 is 2261130.

GCF of Denominators means GCF of 154,568,772 as per the given fractions.

GCF of 154,568,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,339,690

LCM of Fractions 87/154,339/568,690/772 is 1130565

3 87, 339, 690
29, 113, 230

∴ So the LCM of the given numbers is 3 x 29 x 113 x 230 = 2261130

Least Common Multiple of 87,339,690 with GCF Formula

Least Common Multiple of 87,339,690 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 87,339,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,339,690) = 3

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

GCF(87,339,690) x common factors =3 x 3 = 9

LCM(87,339,690) = ( 87 × 339 × 690 ) / 9

LCM(87,339,690) = 20350170 / 9

LCM(87,339,690) = 2261130


Lets's calculate GCF of 154,568,772

2 154, 568, 772
77, 284, 386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2261130/2

Therefore the LCM of Fractions 87/154,339/568,690/772 is 1130565

Greatest Common Factor of 154,568,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,568,772 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 154,568,772 . The biggest common factor number is the GCF number.
So the greatest common factor 154,568,772 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 87/154, 339/568, 690/772

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 87/154, 339/568, 690/772?

Answer: LCM of Numerators as per given numbers 87/154, 339/568, 690/772 is

LCM of Numerators i.e. for 87,339,690 is 2261130

GCF of denominators i.e. for 154,568,772 is 2.

Thus, LCM of Fractions is 1130565.Finally, LCM of Fractions for 87/154, 339/568, 690/772 is 1130565.