Least Common Multiple of 30/750, 49/524, 107/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/750, 49/524, 107/844 quickly i.e. 78645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/750, 49/524, 107/844 is 78645.

LCM(30/750, 49/524, 107/844) = 78645

LCM of 30/750, 49/524, 107/844

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 30/750,49/524,107/844

Given numbers are 30/750,49/524,107/844

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 30,49,107

Least Common Multiple of Numerators i.e. LCM of 30,49,107 is 157290.

GCF of Denominators means GCF of 750,524,844 as per the given fractions.

GCF of 750,524,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,49,107

LCM of Fractions 30/750,49/524,107/844 is 78645

Given numbers has no common factors except 1. So, there LCM is their product i.e 157290

Least Common Multiple of 30,49,107 with GCF Formula

Least Common Multiple of 30,49,107 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 30,49,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,49,107) = 1

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

GCF(30,49,107) x common factors =1 x 1 = 1

LCM(30,49,107) = ( 30 × 49 × 107 ) / 1

LCM(30,49,107) = 157290 / 1

LCM(30,49,107) = 157290


Lets's calculate GCF of 750,524,844

2 750, 524, 844
375, 262, 422

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157290/2

Therefore the LCM of Fractions 30/750,49/524,107/844 is 78645

Greatest Common Factor of 750,524,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,524,844 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 524

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

1,2,4,131,262,524

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 750,524,844 . The biggest common factor number is the GCF number.
So the greatest common factor 750,524,844 is 2.


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 30/750, 49/524, 107/844

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 30/750, 49/524, 107/844?

Answer: LCM of Numerators as per given numbers 30/750, 49/524, 107/844 is

LCM of Numerators i.e. for 30,49,107 is 157290

GCF of denominators i.e. for 750,524,844 is 2.

Thus, LCM of Fractions is 78645.Finally, LCM of Fractions for 30/750, 49/524, 107/844 is 78645.