Least Common Multiple of 932/42, 568/8416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 932/42, 568/8416 quickly i.e. 66172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 932/42, 568/8416 is 66172.

LCM(932/42, 568/8416) = 66172

LCM of 932/42, 568/8416

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 932/42,568/8416

Given numbers are 932/42,568/8416

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 932,568

Least Common Multiple of Numerators i.e. LCM of 932,568 is 132344.

GCF of Denominators means GCF of 42,8416 as per the given fractions.

GCF of 42,8416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 932,568

LCM of Fractions 932/42,568/8416 is 66172

2 932, 568
2 466, 284
233, 142

∴ So the LCM of the given numbers is 2 x 2 x 233 x 142 = 132344

Least Common Multiple of 932,568 with GCF Formula

Least Common Multiple of 932,568 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 932,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,568) = 4

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

GCF(932,568) x common factors =4 x 1 = 4

LCM(932,568) = ( 932 × 568 ) / 4

LCM(932,568) = 529376 / 4

LCM(932,568) = 132344


Lets's calculate GCF of 42,8416

2 42, 8416
21, 4208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132344/2

Therefore the LCM of Fractions 932/42,568/8416 is 66172

Greatest Common Factor of 42,8416 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,8416 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Greatest Common Factor

We found the factors 42,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8416 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 932/42, 568/8416

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 932/42, 568/8416?

Answer: LCM of Numerators as per given numbers 932/42, 568/8416 is

LCM of Numerators i.e. for 932,568 is 132344

GCF of denominators i.e. for 42,8416 is 2.

Thus, LCM of Fractions is 66172.Finally, LCM of Fractions for 932/42, 568/8416 is 66172.