Least Common Multiple of 21/298, 89/653, 586/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/298, 89/653, 586/916 quickly i.e. 1095234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/298, 89/653, 586/916 is 1095234.

LCM(21/298, 89/653, 586/916) = 1095234

LCM of 21/298, 89/653, 586/916

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 21/298,89/653,586/916

Given numbers are 21/298,89/653,586/916

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 21,89,586

Least Common Multiple of Numerators i.e. LCM of 21,89,586 is 1095234.

GCF of Denominators means GCF of 298,653,916 as per the given fractions.

GCF of 298,653,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,89,586

LCM of Fractions 21/298,89/653,586/916 is 1095234

Given numbers has no common factors except 1. So, there LCM is their product i.e 1095234

Least Common Multiple of 21,89,586 with GCF Formula

Least Common Multiple of 21,89,586 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 21,89,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,89,586) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,89,586) x common factors =1 x 1 = 1

LCM(21,89,586) = ( 21 × 89 × 586 ) / 1

LCM(21,89,586) = 1095234 / 1

LCM(21,89,586) = 1095234


Lets's calculate GCF of 298,653,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1095234/1

Therefore the LCM of Fractions 21/298,89/653,586/916 is 1095234

Greatest Common Factor of 298,653,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,653,916 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 298,653,916 . The biggest common factor number is the GCF number.
So the greatest common factor 298,653,916 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 21/298, 89/653, 586/916

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 21/298, 89/653, 586/916?

Answer: LCM of Numerators as per given numbers 21/298, 89/653, 586/916 is

LCM of Numerators i.e. for 21,89,586 is 1095234

GCF of denominators i.e. for 298,653,916 is 1.

Thus, LCM of Fractions is 1095234.Finally, LCM of Fractions for 21/298, 89/653, 586/916 is 1095234.