Least Common Multiple of 135/623, 401/216, 292/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/623, 401/216, 292/545 quickly i.e. 15807420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/623, 401/216, 292/545 is 15807420.

LCM(135/623, 401/216, 292/545) = 15807420

LCM of 135/623, 401/216, 292/545

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 135/623,401/216,292/545

Given numbers are 135/623,401/216,292/545

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 135,401,292

Least Common Multiple of Numerators i.e. LCM of 135,401,292 is 15807420.

GCF of Denominators means GCF of 623,216,545 as per the given fractions.

GCF of 623,216,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,401,292

LCM of Fractions 135/623,401/216,292/545 is 15807420

Given numbers has no common factors except 1. So, there LCM is their product i.e 15807420

Least Common Multiple of 135,401,292 with GCF Formula

Least Common Multiple of 135,401,292 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 135,401,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,401,292) = 1

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

GCF(135,401,292) x common factors =1 x 1 = 1

LCM(135,401,292) = ( 135 × 401 × 292 ) / 1

LCM(135,401,292) = 15807420 / 1

LCM(135,401,292) = 15807420


Lets's calculate GCF of 623,216,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15807420/1

Therefore the LCM of Fractions 135/623,401/216,292/545 is 15807420

Greatest Common Factor of 623,216,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,216,545 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 623,216,545 . The biggest common factor number is the GCF number.
So the greatest common factor 623,216,545 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 135/623, 401/216, 292/545

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 135/623, 401/216, 292/545?

Answer: LCM of Numerators as per given numbers 135/623, 401/216, 292/545 is

LCM of Numerators i.e. for 135,401,292 is 15807420

GCF of denominators i.e. for 623,216,545 is 1.

Thus, LCM of Fractions is 15807420.Finally, LCM of Fractions for 135/623, 401/216, 292/545 is 15807420.