Least Common Multiple of 90/655, 284/687, 610/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/655, 284/687, 610/929 quickly i.e. 779580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/655, 284/687, 610/929 is 779580.

LCM(90/655, 284/687, 610/929) = 779580

LCM of 90/655, 284/687, 610/929

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 90/655,284/687,610/929

Given numbers are 90/655,284/687,610/929

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 90,284,610

Least Common Multiple of Numerators i.e. LCM of 90,284,610 is 779580.

GCF of Denominators means GCF of 655,687,929 as per the given fractions.

GCF of 655,687,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,284,610

LCM of Fractions 90/655,284/687,610/929 is 779580

2 90, 284, 610
5 45, 142, 305
9, 142, 61

∴ So the LCM of the given numbers is 2 x 5 x 9 x 142 x 61 = 779580

Least Common Multiple of 90,284,610 with GCF Formula

Least Common Multiple of 90,284,610 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 90,284,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,284,610) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(90,284,610) x common factors =2 x 10 = 20

LCM(90,284,610) = ( 90 × 284 × 610 ) / 20

LCM(90,284,610) = 15591600 / 20

LCM(90,284,610) = 779580


Lets's calculate GCF of 655,687,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 779580/1

Therefore the LCM of Fractions 90/655,284/687,610/929 is 779580

Greatest Common Factor of 655,687,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,687,929 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 655,687,929 . The biggest common factor number is the GCF number.
So the greatest common factor 655,687,929 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/655, 284/687, 610/929

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 90/655, 284/687, 610/929?

Answer: LCM of Numerators as per given numbers 90/655, 284/687, 610/929 is

LCM of Numerators i.e. for 90,284,610 is 779580

GCF of denominators i.e. for 655,687,929 is 1.

Thus, LCM of Fractions is 779580.Finally, LCM of Fractions for 90/655, 284/687, 610/929 is 779580.