Least Common Multiple of 52/750, 82/678, 828/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/750, 82/678, 828/327 quickly i.e. 147108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/750, 82/678, 828/327 is 147108.

LCM(52/750, 82/678, 828/327) = 147108

LCM of 52/750, 82/678, 828/327

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 52/750,82/678,828/327

Given numbers are 52/750,82/678,828/327

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 52,82,828

Least Common Multiple of Numerators i.e. LCM of 52,82,828 is 441324.

GCF of Denominators means GCF of 750,678,327 as per the given fractions.

GCF of 750,678,327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,82,828

LCM of Fractions 52/750,82/678,828/327 is 147108

2 52, 82, 828
2 26, 41, 414
13, 41, 207

∴ So the LCM of the given numbers is 2 x 2 x 13 x 41 x 207 = 441324

Least Common Multiple of 52,82,828 with GCF Formula

Least Common Multiple of 52,82,828 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 52,82,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,82,828) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(52,82,828) x common factors =2 x 4 = 8

LCM(52,82,828) = ( 52 × 82 × 828 ) / 8

LCM(52,82,828) = 3530592 / 8

LCM(52,82,828) = 441324


Lets's calculate GCF of 750,678,327

3 750, 678, 327
250, 226, 109

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441324/3

Therefore the LCM of Fractions 52/750,82/678,828/327 is 147108

Greatest Common Factor of 750,678,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,678,327 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 750,678,327 . The biggest common factor number is the GCF number.
So the greatest common factor 750,678,327 is 3.


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 52/750, 82/678, 828/327

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 52/750, 82/678, 828/327?

Answer: LCM of Numerators as per given numbers 52/750, 82/678, 828/327 is

LCM of Numerators i.e. for 52,82,828 is 441324

GCF of denominators i.e. for 750,678,327 is 3.

Thus, LCM of Fractions is 147108.Finally, LCM of Fractions for 52/750, 82/678, 828/327 is 147108.