Least Common Multiple of 75/988, 646/414, 630/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/988, 646/414, 630/862 quickly i.e. 508725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/988, 646/414, 630/862 is 508725.

LCM(75/988, 646/414, 630/862) = 508725

LCM of 75/988, 646/414, 630/862

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 75/988,646/414,630/862

Given numbers are 75/988,646/414,630/862

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 75,646,630

Least Common Multiple of Numerators i.e. LCM of 75,646,630 is 1017450.

GCF of Denominators means GCF of 988,414,862 as per the given fractions.

GCF of 988,414,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,646,630

LCM of Fractions 75/988,646/414,630/862 is 508725

2 75, 646, 630
3 75, 323, 315
5 25, 323, 105
5, 323, 21

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 323 x 21 = 1017450

Least Common Multiple of 75,646,630 with GCF Formula

Least Common Multiple of 75,646,630 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 75,646,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,646,630) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(75,646,630) x common factors =1 x 30 = 30

LCM(75,646,630) = ( 75 × 646 × 630 ) / 30

LCM(75,646,630) = 30523500 / 30

LCM(75,646,630) = 1017450


Lets's calculate GCF of 988,414,862

2 988, 414, 862
494, 207, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1017450/2

Therefore the LCM of Fractions 75/988,646/414,630/862 is 508725

Greatest Common Factor of 988,414,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,414,862 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 988,414,862 . The biggest common factor number is the GCF number.
So the greatest common factor 988,414,862 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 75/988, 646/414, 630/862

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 75/988, 646/414, 630/862?

Answer: LCM of Numerators as per given numbers 75/988, 646/414, 630/862 is

LCM of Numerators i.e. for 75,646,630 is 1017450

GCF of denominators i.e. for 988,414,862 is 2.

Thus, LCM of Fractions is 508725.Finally, LCM of Fractions for 75/988, 646/414, 630/862 is 508725.