Least Common Multiple of 696/218, 122/272, 121/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/218, 122/272, 121/213 quickly i.e. 5137176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/218, 122/272, 121/213 is 5137176.

LCM(696/218, 122/272, 121/213) = 5137176

LCM of 696/218, 122/272, 121/213

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 696/218,122/272,121/213

Given numbers are 696/218,122/272,121/213

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 696,122,121

Least Common Multiple of Numerators i.e. LCM of 696,122,121 is 5137176.

GCF of Denominators means GCF of 218,272,213 as per the given fractions.

GCF of 218,272,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,122,121

LCM of Fractions 696/218,122/272,121/213 is 5137176

2 696, 122, 121
348, 61, 121

∴ So the LCM of the given numbers is 2 x 348 x 61 x 121 = 5137176

Least Common Multiple of 696,122,121 with GCF Formula

Least Common Multiple of 696,122,121 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 696,122,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,122,121) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(696,122,121) x common factors =1 x 2 = 2

LCM(696,122,121) = ( 696 × 122 × 121 ) / 2

LCM(696,122,121) = 10274352 / 2

LCM(696,122,121) = 5137176


Lets's calculate GCF of 218,272,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5137176/1

Therefore the LCM of Fractions 696/218,122/272,121/213 is 5137176

Greatest Common Factor of 218,272,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,272,213 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 218,272,213 . The biggest common factor number is the GCF number.
So the greatest common factor 218,272,213 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 696/218, 122/272, 121/213

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 696/218, 122/272, 121/213?

Answer: LCM of Numerators as per given numbers 696/218, 122/272, 121/213 is

LCM of Numerators i.e. for 696,122,121 is 5137176

GCF of denominators i.e. for 218,272,213 is 1.

Thus, LCM of Fractions is 5137176.Finally, LCM of Fractions for 696/218, 122/272, 121/213 is 5137176.