Least Common Multiple of 735/450, 778/327, 271/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/450, 778/327, 271/294 quickly i.e. 51655310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/450, 778/327, 271/294 is 51655310.

LCM(735/450, 778/327, 271/294) = 51655310

LCM of 735/450, 778/327, 271/294

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 735/450,778/327,271/294

Given numbers are 735/450,778/327,271/294

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 735,778,271

Least Common Multiple of Numerators i.e. LCM of 735,778,271 is 154965930.

GCF of Denominators means GCF of 450,327,294 as per the given fractions.

GCF of 450,327,294 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,778,271

LCM of Fractions 735/450,778/327,271/294 is 51655310

Given numbers has no common factors except 1. So, there LCM is their product i.e 154965930

Least Common Multiple of 735,778,271 with GCF Formula

Least Common Multiple of 735,778,271 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 735,778,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,778,271) = 1

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

GCF(735,778,271) x common factors =1 x 1 = 1

LCM(735,778,271) = ( 735 × 778 × 271 ) / 1

LCM(735,778,271) = 154965930 / 1

LCM(735,778,271) = 154965930


Lets's calculate GCF of 450,327,294

3 450, 327, 294
150, 109, 98

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154965930/3

Therefore the LCM of Fractions 735/450,778/327,271/294 is 51655310

Greatest Common Factor of 450,327,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,327,294 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 450,327,294 . The biggest common factor number is the GCF number.
So the greatest common factor 450,327,294 is 3.


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 735/450, 778/327, 271/294

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 735/450, 778/327, 271/294?

Answer: LCM of Numerators as per given numbers 735/450, 778/327, 271/294 is

LCM of Numerators i.e. for 735,778,271 is 154965930

GCF of denominators i.e. for 450,327,294 is 3.

Thus, LCM of Fractions is 51655310.Finally, LCM of Fractions for 735/450, 778/327, 271/294 is 51655310.