Least Common Multiple of 18/356, 38/100, 917/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/356, 38/100, 917/938 quickly i.e. 156807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/356, 38/100, 917/938 is 156807.

LCM(18/356, 38/100, 917/938) = 156807

LCM of 18/356, 38/100, 917/938

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 18/356,38/100,917/938

Given numbers are 18/356,38/100,917/938

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 18,38,917

Least Common Multiple of Numerators i.e. LCM of 18,38,917 is 313614.

GCF of Denominators means GCF of 356,100,938 as per the given fractions.

GCF of 356,100,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,38,917

LCM of Fractions 18/356,38/100,917/938 is 156807

2 18, 38, 917
9, 19, 917

∴ So the LCM of the given numbers is 2 x 9 x 19 x 917 = 313614

Least Common Multiple of 18,38,917 with GCF Formula

Least Common Multiple of 18,38,917 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 18,38,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,38,917) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,38,917) x common factors =1 x 2 = 2

LCM(18,38,917) = ( 18 × 38 × 917 ) / 2

LCM(18,38,917) = 627228 / 2

LCM(18,38,917) = 313614


Lets's calculate GCF of 356,100,938

2 356, 100, 938
178, 50, 469

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313614/2

Therefore the LCM of Fractions 18/356,38/100,917/938 is 156807

Greatest Common Factor of 356,100,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,100,938 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 356,100,938 . The biggest common factor number is the GCF number.
So the greatest common factor 356,100,938 is 2.


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 18/356, 38/100, 917/938

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 18/356, 38/100, 917/938?

Answer: LCM of Numerators as per given numbers 18/356, 38/100, 917/938 is

LCM of Numerators i.e. for 18,38,917 is 313614

GCF of denominators i.e. for 356,100,938 is 2.

Thus, LCM of Fractions is 156807.Finally, LCM of Fractions for 18/356, 38/100, 917/938 is 156807.