Least Common Multiple of 610/73, 711/30, 678/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/73, 711/30, 678/524 quickly i.e. 49009230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/73, 711/30, 678/524 is 49009230.

LCM(610/73, 711/30, 678/524) = 49009230

LCM of 610/73, 711/30, 678/524

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 610/73,711/30,678/524

Given numbers are 610/73,711/30,678/524

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 610,711,678

Least Common Multiple of Numerators i.e. LCM of 610,711,678 is 49009230.

GCF of Denominators means GCF of 73,30,524 as per the given fractions.

GCF of 73,30,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,711,678

LCM of Fractions 610/73,711/30,678/524 is 49009230

2 610, 711, 678
3 305, 711, 339
305, 237, 113

∴ So the LCM of the given numbers is 2 x 3 x 305 x 237 x 113 = 49009230

Least Common Multiple of 610,711,678 with GCF Formula

Least Common Multiple of 610,711,678 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 610,711,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,711,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(610,711,678) x common factors =1 x 6 = 6

LCM(610,711,678) = ( 610 × 711 × 678 ) / 6

LCM(610,711,678) = 294055380 / 6

LCM(610,711,678) = 49009230


Lets's calculate GCF of 73,30,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49009230/1

Therefore the LCM of Fractions 610/73,711/30,678/524 is 49009230

Greatest Common Factor of 73,30,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,30,524 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 73,30,524 . The biggest common factor number is the GCF number.
So the greatest common factor 73,30,524 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 610/73, 711/30, 678/524

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 610/73, 711/30, 678/524?

Answer: LCM of Numerators as per given numbers 610/73, 711/30, 678/524 is

LCM of Numerators i.e. for 610,711,678 is 49009230

GCF of denominators i.e. for 73,30,524 is 1.

Thus, LCM of Fractions is 49009230.Finally, LCM of Fractions for 610/73, 711/30, 678/524 is 49009230.