Least Common Multiple of 215/468, 7366/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 215/468, 7366/351 quickly i.e. 1583690/117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 215/468, 7366/351 is 1583690/117.

LCM(215/468, 7366/351) = 1583690/117

LCM of 215/468, 7366/351

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 215/468,7366/351

Given numbers are 215/468,7366/351

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 215,7366

Least Common Multiple of Numerators i.e. LCM of 215,7366 is 1583690.

GCF of Denominators means GCF of 468,351 as per the given fractions.

GCF of 468,351 is 117 as it is the largest common factor for these numbers.

Lets's calculate LCM of 215,7366

LCM of Fractions 215/468,7366/351 is 1583690/117

Given numbers has no common factors except 1. So, there LCM is their product i.e 1583690

Least Common Multiple of 215,7366 with GCF Formula

Least Common Multiple of 215,7366 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 215,7366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,7366) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(215,7366) x common factors =1 x 1 = 1

LCM(215,7366) = ( 215 × 7366 ) / 1

LCM(215,7366) = 1583690 / 1

LCM(215,7366) = 1583690


Lets's calculate GCF of 468,351

3 468, 351
3 156, 117
13 52, 39
4, 3

∴ So the GCF of the given numbers is 3 x 3 x 13 = 117

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1583690/117

Therefore the LCM of Fractions 215/468,7366/351 is 1583690/117

Greatest Common Factor of 468,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,351 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 468,351 . The biggest common factor number is the GCF number.
So the greatest common factor 468,351 is 117.


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 215/468, 7366/351

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 215/468, 7366/351?

Answer: LCM of Numerators as per given numbers 215/468, 7366/351 is

LCM of Numerators i.e. for 215,7366 is 1583690

GCF of denominators i.e. for 468,351 is 117.

Thus, LCM of Fractions is 1583690/117.Finally, LCM of Fractions for 215/468, 7366/351 is 1583690/117.