Least Common Multiple of 645/78, 318/7456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/78, 318/7456 quickly i.e. 34185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/78, 318/7456 is 34185.

LCM(645/78, 318/7456) = 34185

LCM of 645/78, 318/7456

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 645/78,318/7456

Given numbers are 645/78,318/7456

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 645,318

Least Common Multiple of Numerators i.e. LCM of 645,318 is 68370.

GCF of Denominators means GCF of 78,7456 as per the given fractions.

GCF of 78,7456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,318

LCM of Fractions 645/78,318/7456 is 34185

3 645, 318
215, 106

∴ So the LCM of the given numbers is 3 x 215 x 106 = 68370

Least Common Multiple of 645,318 with GCF Formula

Least Common Multiple of 645,318 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 645,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,318) = 3

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

GCF(645,318) x common factors =3 x 1 = 3

LCM(645,318) = ( 645 × 318 ) / 3

LCM(645,318) = 205110 / 3

LCM(645,318) = 68370


Lets's calculate GCF of 78,7456

2 78, 7456
39, 3728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68370/2

Therefore the LCM of Fractions 645/78,318/7456 is 34185

Greatest Common Factor of 78,7456 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,7456 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 7456

List of positive integer factors of 7456 that divides 7456 without a remainder.

1,2,4,8,16,32,233,466,932,1864,3728,7456

Greatest Common Factor

We found the factors 78,7456 . The biggest common factor number is the GCF number.
So the greatest common factor 78,7456 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 645/78, 318/7456

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 645/78, 318/7456?

Answer: LCM of Numerators as per given numbers 645/78, 318/7456 is

LCM of Numerators i.e. for 645,318 is 68370

GCF of denominators i.e. for 78,7456 is 2.

Thus, LCM of Fractions is 34185.Finally, LCM of Fractions for 645/78, 318/7456 is 34185.