Least Common Multiple of 654/13, 956/11, 224/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/13, 956/11, 224/196 quickly i.e. 17506272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/13, 956/11, 224/196 is 17506272.

LCM(654/13, 956/11, 224/196) = 17506272

LCM of 654/13, 956/11, 224/196

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 654/13,956/11,224/196

Given numbers are 654/13,956/11,224/196

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 654,956,224

Least Common Multiple of Numerators i.e. LCM of 654,956,224 is 17506272.

GCF of Denominators means GCF of 13,11,196 as per the given fractions.

GCF of 13,11,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,956,224

LCM of Fractions 654/13,956/11,224/196 is 17506272

2 654, 956, 224
2 327, 478, 112
327, 239, 56

∴ So the LCM of the given numbers is 2 x 2 x 327 x 239 x 56 = 17506272

Least Common Multiple of 654,956,224 with GCF Formula

Least Common Multiple of 654,956,224 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 654,956,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,956,224) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(654,956,224) x common factors =2 x 4 = 8

LCM(654,956,224) = ( 654 × 956 × 224 ) / 8

LCM(654,956,224) = 140050176 / 8

LCM(654,956,224) = 17506272


Lets's calculate GCF of 13,11,196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17506272/1

Therefore the LCM of Fractions 654/13,956/11,224/196 is 17506272

Greatest Common Factor of 13,11,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,11,196 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 13,11,196 . The biggest common factor number is the GCF number.
So the greatest common factor 13,11,196 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 654/13, 956/11, 224/196

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 654/13, 956/11, 224/196?

Answer: LCM of Numerators as per given numbers 654/13, 956/11, 224/196 is

LCM of Numerators i.e. for 654,956,224 is 17506272

GCF of denominators i.e. for 13,11,196 is 1.

Thus, LCM of Fractions is 17506272.Finally, LCM of Fractions for 654/13, 956/11, 224/196 is 17506272.