Least Common Multiple of 12/201, 22/337, 684/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/201, 22/337, 684/845 quickly i.e. 7524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/201, 22/337, 684/845 is 7524.

LCM(12/201, 22/337, 684/845) = 7524

LCM of 12/201, 22/337, 684/845

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 12/201,22/337,684/845

Given numbers are 12/201,22/337,684/845

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 12,22,684

Least Common Multiple of Numerators i.e. LCM of 12,22,684 is 7524.

GCF of Denominators means GCF of 201,337,845 as per the given fractions.

GCF of 201,337,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,22,684

LCM of Fractions 12/201,22/337,684/845 is 7524

2 12, 22, 684
2 6, 11, 342
3 3, 11, 171
1, 11, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 11 x 57 = 7524

Least Common Multiple of 12,22,684 with GCF Formula

Least Common Multiple of 12,22,684 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 12,22,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,22,684) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(12,22,684) x common factors =2 x 12 = 24

LCM(12,22,684) = ( 12 × 22 × 684 ) / 24

LCM(12,22,684) = 180576 / 24

LCM(12,22,684) = 7524


Lets's calculate GCF of 201,337,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7524/1

Therefore the LCM of Fractions 12/201,22/337,684/845 is 7524

Greatest Common Factor of 201,337,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,337,845 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 201,337,845 . The biggest common factor number is the GCF number.
So the greatest common factor 201,337,845 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 12/201, 22/337, 684/845

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 12/201, 22/337, 684/845?

Answer: LCM of Numerators as per given numbers 12/201, 22/337, 684/845 is

LCM of Numerators i.e. for 12,22,684 is 7524

GCF of denominators i.e. for 201,337,845 is 1.

Thus, LCM of Fractions is 7524.Finally, LCM of Fractions for 12/201, 22/337, 684/845 is 7524.