Least Common Multiple of 12/322, 537/176, 572/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/322, 537/176, 572/747 quickly i.e. 307164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/322, 537/176, 572/747 is 307164.

LCM(12/322, 537/176, 572/747) = 307164

LCM of 12/322, 537/176, 572/747

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 12/322,537/176,572/747

Given numbers are 12/322,537/176,572/747

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 12,537,572

Least Common Multiple of Numerators i.e. LCM of 12,537,572 is 307164.

GCF of Denominators means GCF of 322,176,747 as per the given fractions.

GCF of 322,176,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,537,572

LCM of Fractions 12/322,537/176,572/747 is 307164

2 12, 537, 572
2 6, 537, 286
3 3, 537, 143
1, 179, 143

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 179 x 143 = 307164

Least Common Multiple of 12,537,572 with GCF Formula

Least Common Multiple of 12,537,572 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 12,537,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,537,572) = 1

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

GCF(12,537,572) x common factors =1 x 12 = 12

LCM(12,537,572) = ( 12 × 537 × 572 ) / 12

LCM(12,537,572) = 3685968 / 12

LCM(12,537,572) = 307164


Lets's calculate GCF of 322,176,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307164/1

Therefore the LCM of Fractions 12/322,537/176,572/747 is 307164

Greatest Common Factor of 322,176,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,176,747 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 322,176,747 . The biggest common factor number is the GCF number.
So the greatest common factor 322,176,747 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 12/322, 537/176, 572/747

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 12/322, 537/176, 572/747?

Answer: LCM of Numerators as per given numbers 12/322, 537/176, 572/747 is

LCM of Numerators i.e. for 12,537,572 is 307164

GCF of denominators i.e. for 322,176,747 is 1.

Thus, LCM of Fractions is 307164.Finally, LCM of Fractions for 12/322, 537/176, 572/747 is 307164.