Least Common Multiple of 83/42, 98/580, 172/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/42, 98/580, 172/119 quickly i.e. 699524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/42, 98/580, 172/119 is 699524.

LCM(83/42, 98/580, 172/119) = 699524

LCM of 83/42, 98/580, 172/119

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 83/42,98/580,172/119

Given numbers are 83/42,98/580,172/119

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 83,98,172

Least Common Multiple of Numerators i.e. LCM of 83,98,172 is 699524.

GCF of Denominators means GCF of 42,580,119 as per the given fractions.

GCF of 42,580,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,98,172

LCM of Fractions 83/42,98/580,172/119 is 699524

2 83, 98, 172
83, 49, 86

∴ So the LCM of the given numbers is 2 x 83 x 49 x 86 = 699524

Least Common Multiple of 83,98,172 with GCF Formula

Least Common Multiple of 83,98,172 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 83,98,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,98,172) = 1

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

GCF(83,98,172) x common factors =1 x 2 = 2

LCM(83,98,172) = ( 83 × 98 × 172 ) / 2

LCM(83,98,172) = 1399048 / 2

LCM(83,98,172) = 699524


Lets's calculate GCF of 42,580,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699524/1

Therefore the LCM of Fractions 83/42,98/580,172/119 is 699524

Greatest Common Factor of 42,580,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,580,119 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 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 42,580,119 . The biggest common factor number is the GCF number.
So the greatest common factor 42,580,119 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 83/42, 98/580, 172/119

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 83/42, 98/580, 172/119?

Answer: LCM of Numerators as per given numbers 83/42, 98/580, 172/119 is

LCM of Numerators i.e. for 83,98,172 is 699524

GCF of denominators i.e. for 42,580,119 is 1.

Thus, LCM of Fractions is 699524.Finally, LCM of Fractions for 83/42, 98/580, 172/119 is 699524.