Least Common Multiple of 83/109, 45/325, 937/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/109, 45/325, 937/959 quickly i.e. 3499695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/109, 45/325, 937/959 is 3499695.

LCM(83/109, 45/325, 937/959) = 3499695

LCM of 83/109, 45/325, 937/959

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 83/109,45/325,937/959

Given numbers are 83/109,45/325,937/959

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 83,45,937

Least Common Multiple of Numerators i.e. LCM of 83,45,937 is 3499695.

GCF of Denominators means GCF of 109,325,959 as per the given fractions.

GCF of 109,325,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,45,937

LCM of Fractions 83/109,45/325,937/959 is 3499695

Given numbers has no common factors except 1. So, there LCM is their product i.e 3499695

Least Common Multiple of 83,45,937 with GCF Formula

Least Common Multiple of 83,45,937 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 83,45,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,45,937) = 1

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

GCF(83,45,937) x common factors =1 x 1 = 1

LCM(83,45,937) = ( 83 × 45 × 937 ) / 1

LCM(83,45,937) = 3499695 / 1

LCM(83,45,937) = 3499695


Lets's calculate GCF of 109,325,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3499695/1

Therefore the LCM of Fractions 83/109,45/325,937/959 is 3499695

Greatest Common Factor of 109,325,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,325,959 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 109,325,959 . The biggest common factor number is the GCF number.
So the greatest common factor 109,325,959 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 83/109, 45/325, 937/959

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 83/109, 45/325, 937/959?

Answer: LCM of Numerators as per given numbers 83/109, 45/325, 937/959 is

LCM of Numerators i.e. for 83,45,937 is 3499695

GCF of denominators i.e. for 109,325,959 is 1.

Thus, LCM of Fractions is 3499695.Finally, LCM of Fractions for 83/109, 45/325, 937/959 is 3499695.