Least Common Multiple of 72/476, 336/244, 972/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/476, 336/244, 972/222 quickly i.e. 13608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/476, 336/244, 972/222 is 13608.

LCM(72/476, 336/244, 972/222) = 13608

LCM of 72/476, 336/244, 972/222

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 72/476,336/244,972/222

Given numbers are 72/476,336/244,972/222

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 72,336,972

Least Common Multiple of Numerators i.e. LCM of 72,336,972 is 27216.

GCF of Denominators means GCF of 476,244,222 as per the given fractions.

GCF of 476,244,222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,336,972

LCM of Fractions 72/476,336/244,972/222 is 13608

2 72, 336, 972
2 36, 168, 486
2 18, 84, 243
3 9, 42, 243
3 3, 14, 81
1, 14, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 14 x 27 = 27216

Least Common Multiple of 72,336,972 with GCF Formula

Least Common Multiple of 72,336,972 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 72,336,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,336,972) = 12

common factors(in case of two or more numbers have common factors) = 72

GCF(72,336,972) x common factors =12 x 72 = 864

LCM(72,336,972) = ( 72 × 336 × 972 ) / 864

LCM(72,336,972) = 23514624 / 864

LCM(72,336,972) = 27216


Lets's calculate GCF of 476,244,222

2 476, 244, 222
238, 122, 111

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27216/2

Therefore the LCM of Fractions 72/476,336/244,972/222 is 13608

Greatest Common Factor of 476,244,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,244,222 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 476,244,222 . The biggest common factor number is the GCF number.
So the greatest common factor 476,244,222 is 2.


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 72/476, 336/244, 972/222

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 72/476, 336/244, 972/222?

Answer: LCM of Numerators as per given numbers 72/476, 336/244, 972/222 is

LCM of Numerators i.e. for 72,336,972 is 27216

GCF of denominators i.e. for 476,244,222 is 2.

Thus, LCM of Fractions is 13608.Finally, LCM of Fractions for 72/476, 336/244, 972/222 is 13608.