Least Common Multiple of 618/84, 523/73, 101/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/84, 523/73, 101/813 quickly i.e. 32644614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/84, 523/73, 101/813 is 32644614.

LCM(618/84, 523/73, 101/813) = 32644614

LCM of 618/84, 523/73, 101/813

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 618/84,523/73,101/813

Given numbers are 618/84,523/73,101/813

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 618,523,101

Least Common Multiple of Numerators i.e. LCM of 618,523,101 is 32644614.

GCF of Denominators means GCF of 84,73,813 as per the given fractions.

GCF of 84,73,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,523,101

LCM of Fractions 618/84,523/73,101/813 is 32644614

Given numbers has no common factors except 1. So, there LCM is their product i.e 32644614

Least Common Multiple of 618,523,101 with GCF Formula

Least Common Multiple of 618,523,101 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 618,523,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,523,101) = 1

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

GCF(618,523,101) x common factors =1 x 1 = 1

LCM(618,523,101) = ( 618 × 523 × 101 ) / 1

LCM(618,523,101) = 32644614 / 1

LCM(618,523,101) = 32644614


Lets's calculate GCF of 84,73,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32644614/1

Therefore the LCM of Fractions 618/84,523/73,101/813 is 32644614

Greatest Common Factor of 84,73,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,73,813 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 84,73,813 . The biggest common factor number is the GCF number.
So the greatest common factor 84,73,813 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 618/84, 523/73, 101/813

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 618/84, 523/73, 101/813?

Answer: LCM of Numerators as per given numbers 618/84, 523/73, 101/813 is

LCM of Numerators i.e. for 618,523,101 is 32644614

GCF of denominators i.e. for 84,73,813 is 1.

Thus, LCM of Fractions is 32644614.Finally, LCM of Fractions for 618/84, 523/73, 101/813 is 32644614.