Least Common Multiple of 122/89, 312/90, 491/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/89, 312/90, 491/207 quickly i.e. 9344712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/89, 312/90, 491/207 is 9344712.

LCM(122/89, 312/90, 491/207) = 9344712

LCM of 122/89, 312/90, 491/207

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 122/89,312/90,491/207

Given numbers are 122/89,312/90,491/207

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 122,312,491

Least Common Multiple of Numerators i.e. LCM of 122,312,491 is 9344712.

GCF of Denominators means GCF of 89,90,207 as per the given fractions.

GCF of 89,90,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,312,491

LCM of Fractions 122/89,312/90,491/207 is 9344712

2 122, 312, 491
61, 156, 491

∴ So the LCM of the given numbers is 2 x 61 x 156 x 491 = 9344712

Least Common Multiple of 122,312,491 with GCF Formula

Least Common Multiple of 122,312,491 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 122,312,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,312,491) = 1

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

GCF(122,312,491) x common factors =1 x 2 = 2

LCM(122,312,491) = ( 122 × 312 × 491 ) / 2

LCM(122,312,491) = 18689424 / 2

LCM(122,312,491) = 9344712


Lets's calculate GCF of 89,90,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9344712/1

Therefore the LCM of Fractions 122/89,312/90,491/207 is 9344712

Greatest Common Factor of 89,90,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,90,207 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 89,90,207 . The biggest common factor number is the GCF number.
So the greatest common factor 89,90,207 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 122/89, 312/90, 491/207

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 122/89, 312/90, 491/207?

Answer: LCM of Numerators as per given numbers 122/89, 312/90, 491/207 is

LCM of Numerators i.e. for 122,312,491 is 9344712

GCF of denominators i.e. for 89,90,207 is 1.

Thus, LCM of Fractions is 9344712.Finally, LCM of Fractions for 122/89, 312/90, 491/207 is 9344712.