Least Common Multiple of 38/18, 137/76, 917/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/18, 137/76, 917/459 quickly i.e. 4773902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/18, 137/76, 917/459 is 4773902.

LCM(38/18, 137/76, 917/459) = 4773902

LCM of 38/18, 137/76, 917/459

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 38/18,137/76,917/459

Given numbers are 38/18,137/76,917/459

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 38,137,917

Least Common Multiple of Numerators i.e. LCM of 38,137,917 is 4773902.

GCF of Denominators means GCF of 18,76,459 as per the given fractions.

GCF of 18,76,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,137,917

LCM of Fractions 38/18,137/76,917/459 is 4773902

Given numbers has no common factors except 1. So, there LCM is their product i.e 4773902

Least Common Multiple of 38,137,917 with GCF Formula

Least Common Multiple of 38,137,917 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 38,137,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,137,917) = 1

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

GCF(38,137,917) x common factors =1 x 1 = 1

LCM(38,137,917) = ( 38 × 137 × 917 ) / 1

LCM(38,137,917) = 4773902 / 1

LCM(38,137,917) = 4773902


Lets's calculate GCF of 18,76,459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4773902/1

Therefore the LCM of Fractions 38/18,137/76,917/459 is 4773902

Greatest Common Factor of 18,76,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,76,459 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 18,76,459 . The biggest common factor number is the GCF number.
So the greatest common factor 18,76,459 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 38/18, 137/76, 917/459

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 38/18, 137/76, 917/459?

Answer: LCM of Numerators as per given numbers 38/18, 137/76, 917/459 is

LCM of Numerators i.e. for 38,137,917 is 4773902

GCF of denominators i.e. for 18,76,459 is 1.

Thus, LCM of Fractions is 4773902.Finally, LCM of Fractions for 38/18, 137/76, 917/459 is 4773902.