Least Common Multiple of 75/878, 122/752, 492/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/878, 122/752, 492/128 quickly i.e. 375150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/878, 122/752, 492/128 is 375150.

LCM(75/878, 122/752, 492/128) = 375150

LCM of 75/878, 122/752, 492/128

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 75/878,122/752,492/128

Given numbers are 75/878,122/752,492/128

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 75,122,492

Least Common Multiple of Numerators i.e. LCM of 75,122,492 is 750300.

GCF of Denominators means GCF of 878,752,128 as per the given fractions.

GCF of 878,752,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,122,492

LCM of Fractions 75/878,122/752,492/128 is 375150

2 75, 122, 492
3 75, 61, 246
25, 61, 82

∴ So the LCM of the given numbers is 2 x 3 x 25 x 61 x 82 = 750300

Least Common Multiple of 75,122,492 with GCF Formula

Least Common Multiple of 75,122,492 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 75,122,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,122,492) = 1

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

GCF(75,122,492) x common factors =1 x 6 = 6

LCM(75,122,492) = ( 75 × 122 × 492 ) / 6

LCM(75,122,492) = 4501800 / 6

LCM(75,122,492) = 750300


Lets's calculate GCF of 878,752,128

2 878, 752, 128
439, 376, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750300/2

Therefore the LCM of Fractions 75/878,122/752,492/128 is 375150

Greatest Common Factor of 878,752,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,752,128 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 878,752,128 . The biggest common factor number is the GCF number.
So the greatest common factor 878,752,128 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 75/878, 122/752, 492/128

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 75/878, 122/752, 492/128?

Answer: LCM of Numerators as per given numbers 75/878, 122/752, 492/128 is

LCM of Numerators i.e. for 75,122,492 is 750300

GCF of denominators i.e. for 878,752,128 is 2.

Thus, LCM of Fractions is 375150.Finally, LCM of Fractions for 75/878, 122/752, 492/128 is 375150.