Least Common Multiple of 76/743, 566/124, 989/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/743, 566/124, 989/842 quickly i.e. 21271412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/743, 566/124, 989/842 is 21271412.

LCM(76/743, 566/124, 989/842) = 21271412

LCM of 76/743, 566/124, 989/842

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 76/743,566/124,989/842

Given numbers are 76/743,566/124,989/842

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 76,566,989

Least Common Multiple of Numerators i.e. LCM of 76,566,989 is 21271412.

GCF of Denominators means GCF of 743,124,842 as per the given fractions.

GCF of 743,124,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,566,989

LCM of Fractions 76/743,566/124,989/842 is 21271412

2 76, 566, 989
38, 283, 989

∴ So the LCM of the given numbers is 2 x 38 x 283 x 989 = 21271412

Least Common Multiple of 76,566,989 with GCF Formula

Least Common Multiple of 76,566,989 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 76,566,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,566,989) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,566,989) x common factors =1 x 2 = 2

LCM(76,566,989) = ( 76 × 566 × 989 ) / 2

LCM(76,566,989) = 42542824 / 2

LCM(76,566,989) = 21271412


Lets's calculate GCF of 743,124,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21271412/1

Therefore the LCM of Fractions 76/743,566/124,989/842 is 21271412

Greatest Common Factor of 743,124,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,124,842 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 743,124,842 . The biggest common factor number is the GCF number.
So the greatest common factor 743,124,842 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 76/743, 566/124, 989/842

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 76/743, 566/124, 989/842?

Answer: LCM of Numerators as per given numbers 76/743, 566/124, 989/842 is

LCM of Numerators i.e. for 76,566,989 is 21271412

GCF of denominators i.e. for 743,124,842 is 1.

Thus, LCM of Fractions is 21271412.Finally, LCM of Fractions for 76/743, 566/124, 989/842 is 21271412.