Least Common Multiple of 900/678, 541/934, 355/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/678, 541/934, 355/191 quickly i.e. 34569900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/678, 541/934, 355/191 is 34569900.

LCM(900/678, 541/934, 355/191) = 34569900

LCM of 900/678, 541/934, 355/191

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 900/678,541/934,355/191

Given numbers are 900/678,541/934,355/191

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 900,541,355

Least Common Multiple of Numerators i.e. LCM of 900,541,355 is 34569900.

GCF of Denominators means GCF of 678,934,191 as per the given fractions.

GCF of 678,934,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,541,355

LCM of Fractions 900/678,541/934,355/191 is 34569900

5 900, 541, 355
180, 541, 71

∴ So the LCM of the given numbers is 5 x 180 x 541 x 71 = 34569900

Least Common Multiple of 900,541,355 with GCF Formula

Least Common Multiple of 900,541,355 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 900,541,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,541,355) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(900,541,355) x common factors =1 x 5 = 5

LCM(900,541,355) = ( 900 × 541 × 355 ) / 5

LCM(900,541,355) = 172849500 / 5

LCM(900,541,355) = 34569900


Lets's calculate GCF of 678,934,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34569900/1

Therefore the LCM of Fractions 900/678,541/934,355/191 is 34569900

Greatest Common Factor of 678,934,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,934,191 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 678,934,191 . The biggest common factor number is the GCF number.
So the greatest common factor 678,934,191 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 900/678, 541/934, 355/191

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 900/678, 541/934, 355/191?

Answer: LCM of Numerators as per given numbers 900/678, 541/934, 355/191 is

LCM of Numerators i.e. for 900,541,355 is 34569900

GCF of denominators i.e. for 678,934,191 is 1.

Thus, LCM of Fractions is 34569900.Finally, LCM of Fractions for 900/678, 541/934, 355/191 is 34569900.