Least Common Multiple of 542/76, 409/74, 689/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/76, 409/74, 689/932 quickly i.e. 76368071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/76, 409/74, 689/932 is 76368071.

LCM(542/76, 409/74, 689/932) = 76368071

LCM of 542/76, 409/74, 689/932

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 542/76,409/74,689/932

Given numbers are 542/76,409/74,689/932

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 542,409,689

Least Common Multiple of Numerators i.e. LCM of 542,409,689 is 152736142.

GCF of Denominators means GCF of 76,74,932 as per the given fractions.

GCF of 76,74,932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,409,689

LCM of Fractions 542/76,409/74,689/932 is 76368071

Given numbers has no common factors except 1. So, there LCM is their product i.e 152736142

Least Common Multiple of 542,409,689 with GCF Formula

Least Common Multiple of 542,409,689 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 542,409,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,409,689) = 1

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

GCF(542,409,689) x common factors =1 x 1 = 1

LCM(542,409,689) = ( 542 × 409 × 689 ) / 1

LCM(542,409,689) = 152736142 / 1

LCM(542,409,689) = 152736142


Lets's calculate GCF of 76,74,932

2 76, 74, 932
38, 37, 466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152736142/2

Therefore the LCM of Fractions 542/76,409/74,689/932 is 76368071

Greatest Common Factor of 76,74,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,74,932 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 76,74,932 . The biggest common factor number is the GCF number.
So the greatest common factor 76,74,932 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 542/76, 409/74, 689/932

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 542/76, 409/74, 689/932?

Answer: LCM of Numerators as per given numbers 542/76, 409/74, 689/932 is

LCM of Numerators i.e. for 542,409,689 is 152736142

GCF of denominators i.e. for 76,74,932 is 2.

Thus, LCM of Fractions is 76368071.Finally, LCM of Fractions for 542/76, 409/74, 689/932 is 76368071.