Least Common Multiple of 455/12, 156/22, 696/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 455/12, 156/22, 696/144 quickly i.e. 158340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/12, 156/22, 696/144 is 158340.

LCM(455/12, 156/22, 696/144) = 158340

LCM of 455/12, 156/22, 696/144

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 455/12,156/22,696/144

Given numbers are 455/12,156/22,696/144

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 455,156,696

Least Common Multiple of Numerators i.e. LCM of 455,156,696 is 316680.

GCF of Denominators means GCF of 12,22,144 as per the given fractions.

GCF of 12,22,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,156,696

LCM of Fractions 455/12,156/22,696/144 is 158340

2 455, 156, 696
2 455, 78, 348
3 455, 39, 174
13 455, 13, 58
35, 1, 58

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 35 x 1 x 58 = 316680

Least Common Multiple of 455,156,696 with GCF Formula

Least Common Multiple of 455,156,696 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 455,156,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,156,696) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(455,156,696) x common factors =1 x 156 = 156

LCM(455,156,696) = ( 455 × 156 × 696 ) / 156

LCM(455,156,696) = 49402080 / 156

LCM(455,156,696) = 316680


Lets's calculate GCF of 12,22,144

2 12, 22, 144
6, 11, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316680/2

Therefore the LCM of Fractions 455/12,156/22,696/144 is 158340

Greatest Common Factor of 12,22,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,22,144 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 12,22,144 . The biggest common factor number is the GCF number.
So the greatest common factor 12,22,144 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 455/12, 156/22, 696/144

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 455/12, 156/22, 696/144?

Answer: LCM of Numerators as per given numbers 455/12, 156/22, 696/144 is

LCM of Numerators i.e. for 455,156,696 is 316680

GCF of denominators i.e. for 12,22,144 is 2.

Thus, LCM of Fractions is 158340.Finally, LCM of Fractions for 455/12, 156/22, 696/144 is 158340.