Least Common Multiple of 36/369, 419/634, 715/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/369, 419/634, 715/187 quickly i.e. 10785060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/369, 419/634, 715/187 is 10785060.

LCM(36/369, 419/634, 715/187) = 10785060

LCM of 36/369, 419/634, 715/187

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 36/369,419/634,715/187

Given numbers are 36/369,419/634,715/187

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 36,419,715

Least Common Multiple of Numerators i.e. LCM of 36,419,715 is 10785060.

GCF of Denominators means GCF of 369,634,187 as per the given fractions.

GCF of 369,634,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,419,715

LCM of Fractions 36/369,419/634,715/187 is 10785060

Given numbers has no common factors except 1. So, there LCM is their product i.e 10785060

Least Common Multiple of 36,419,715 with GCF Formula

Least Common Multiple of 36,419,715 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 36,419,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,419,715) = 1

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

GCF(36,419,715) x common factors =1 x 1 = 1

LCM(36,419,715) = ( 36 × 419 × 715 ) / 1

LCM(36,419,715) = 10785060 / 1

LCM(36,419,715) = 10785060


Lets's calculate GCF of 369,634,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10785060/1

Therefore the LCM of Fractions 36/369,419/634,715/187 is 10785060

Greatest Common Factor of 369,634,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,634,187 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 187

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

1,11,17,187

Greatest Common Factor

We found the factors 369,634,187 . The biggest common factor number is the GCF number.
So the greatest common factor 369,634,187 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 36/369, 419/634, 715/187

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 36/369, 419/634, 715/187?

Answer: LCM of Numerators as per given numbers 36/369, 419/634, 715/187 is

LCM of Numerators i.e. for 36,419,715 is 10785060

GCF of denominators i.e. for 369,634,187 is 1.

Thus, LCM of Fractions is 10785060.Finally, LCM of Fractions for 36/369, 419/634, 715/187 is 10785060.