Least Common Multiple of 78/357, 484/371, 313/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/357, 484/371, 313/220 quickly i.e. 5908188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/357, 484/371, 313/220 is 5908188.

LCM(78/357, 484/371, 313/220) = 5908188

LCM of 78/357, 484/371, 313/220

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 78/357,484/371,313/220

Given numbers are 78/357,484/371,313/220

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 78,484,313

Least Common Multiple of Numerators i.e. LCM of 78,484,313 is 5908188.

GCF of Denominators means GCF of 357,371,220 as per the given fractions.

GCF of 357,371,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,484,313

LCM of Fractions 78/357,484/371,313/220 is 5908188

2 78, 484, 313
39, 242, 313

∴ So the LCM of the given numbers is 2 x 39 x 242 x 313 = 5908188

Least Common Multiple of 78,484,313 with GCF Formula

Least Common Multiple of 78,484,313 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 78,484,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,484,313) = 1

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

GCF(78,484,313) x common factors =1 x 2 = 2

LCM(78,484,313) = ( 78 × 484 × 313 ) / 2

LCM(78,484,313) = 11816376 / 2

LCM(78,484,313) = 5908188


Lets's calculate GCF of 357,371,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5908188/1

Therefore the LCM of Fractions 78/357,484/371,313/220 is 5908188

Greatest Common Factor of 357,371,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,371,220 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 357,371,220 . The biggest common factor number is the GCF number.
So the greatest common factor 357,371,220 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 78/357, 484/371, 313/220

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 78/357, 484/371, 313/220?

Answer: LCM of Numerators as per given numbers 78/357, 484/371, 313/220 is

LCM of Numerators i.e. for 78,484,313 is 5908188

GCF of denominators i.e. for 357,371,220 is 1.

Thus, LCM of Fractions is 5908188.Finally, LCM of Fractions for 78/357, 484/371, 313/220 is 5908188.