Least Common Multiple of 32/83, 332/35, 979/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/83, 332/35, 979/188 quickly i.e. 2600224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/83, 332/35, 979/188 is 2600224.

LCM(32/83, 332/35, 979/188) = 2600224

LCM of 32/83, 332/35, 979/188

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 32/83,332/35,979/188

Given numbers are 32/83,332/35,979/188

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 32,332,979

Least Common Multiple of Numerators i.e. LCM of 32,332,979 is 2600224.

GCF of Denominators means GCF of 83,35,188 as per the given fractions.

GCF of 83,35,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,332,979

LCM of Fractions 32/83,332/35,979/188 is 2600224

2 32, 332, 979
2 16, 166, 979
8, 83, 979

∴ So the LCM of the given numbers is 2 x 2 x 8 x 83 x 979 = 2600224

Least Common Multiple of 32,332,979 with GCF Formula

Least Common Multiple of 32,332,979 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 32,332,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,332,979) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,332,979) x common factors =1 x 4 = 4

LCM(32,332,979) = ( 32 × 332 × 979 ) / 4

LCM(32,332,979) = 10400896 / 4

LCM(32,332,979) = 2600224


Lets's calculate GCF of 83,35,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2600224/1

Therefore the LCM of Fractions 32/83,332/35,979/188 is 2600224

Greatest Common Factor of 83,35,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,35,188 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 83,35,188 . The biggest common factor number is the GCF number.
So the greatest common factor 83,35,188 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 32/83, 332/35, 979/188

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 32/83, 332/35, 979/188?

Answer: LCM of Numerators as per given numbers 32/83, 332/35, 979/188 is

LCM of Numerators i.e. for 32,332,979 is 2600224

GCF of denominators i.e. for 83,35,188 is 1.

Thus, LCM of Fractions is 2600224.Finally, LCM of Fractions for 32/83, 332/35, 979/188 is 2600224.