Least Common Multiple of 507/187, 490/494, 289/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/187, 490/494, 289/236 quickly i.e. 71796270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/187, 490/494, 289/236 is 71796270.

LCM(507/187, 490/494, 289/236) = 71796270

LCM of 507/187, 490/494, 289/236

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 507/187,490/494,289/236

Given numbers are 507/187,490/494,289/236

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 507,490,289

Least Common Multiple of Numerators i.e. LCM of 507,490,289 is 71796270.

GCF of Denominators means GCF of 187,494,236 as per the given fractions.

GCF of 187,494,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,490,289

LCM of Fractions 507/187,490/494,289/236 is 71796270

Given numbers has no common factors except 1. So, there LCM is their product i.e 71796270

Least Common Multiple of 507,490,289 with GCF Formula

Least Common Multiple of 507,490,289 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 507,490,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,490,289) = 1

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

GCF(507,490,289) x common factors =1 x 1 = 1

LCM(507,490,289) = ( 507 × 490 × 289 ) / 1

LCM(507,490,289) = 71796270 / 1

LCM(507,490,289) = 71796270


Lets's calculate GCF of 187,494,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71796270/1

Therefore the LCM of Fractions 507/187,490/494,289/236 is 71796270

Greatest Common Factor of 187,494,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,494,236 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 187,494,236 . The biggest common factor number is the GCF number.
So the greatest common factor 187,494,236 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 507/187, 490/494, 289/236

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 507/187, 490/494, 289/236?

Answer: LCM of Numerators as per given numbers 507/187, 490/494, 289/236 is

LCM of Numerators i.e. for 507,490,289 is 71796270

GCF of denominators i.e. for 187,494,236 is 1.

Thus, LCM of Fractions is 71796270.Finally, LCM of Fractions for 507/187, 490/494, 289/236 is 71796270.