Least Common Multiple of 18/318, 83/221, 917/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/318, 83/221, 917/215 quickly i.e. 1369998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/318, 83/221, 917/215 is 1369998.

LCM(18/318, 83/221, 917/215) = 1369998

LCM of 18/318, 83/221, 917/215

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 18/318,83/221,917/215

Given numbers are 18/318,83/221,917/215

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 18,83,917

Least Common Multiple of Numerators i.e. LCM of 18,83,917 is 1369998.

GCF of Denominators means GCF of 318,221,215 as per the given fractions.

GCF of 318,221,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,83,917

LCM of Fractions 18/318,83/221,917/215 is 1369998

Given numbers has no common factors except 1. So, there LCM is their product i.e 1369998

Least Common Multiple of 18,83,917 with GCF Formula

Least Common Multiple of 18,83,917 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 18,83,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,83,917) = 1

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

GCF(18,83,917) x common factors =1 x 1 = 1

LCM(18,83,917) = ( 18 × 83 × 917 ) / 1

LCM(18,83,917) = 1369998 / 1

LCM(18,83,917) = 1369998


Lets's calculate GCF of 318,221,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1369998/1

Therefore the LCM of Fractions 18/318,83/221,917/215 is 1369998

Greatest Common Factor of 318,221,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,221,215 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 318,221,215 . The biggest common factor number is the GCF number.
So the greatest common factor 318,221,215 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 18/318, 83/221, 917/215

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 18/318, 83/221, 917/215?

Answer: LCM of Numerators as per given numbers 18/318, 83/221, 917/215 is

LCM of Numerators i.e. for 18,83,917 is 1369998

GCF of denominators i.e. for 318,221,215 is 1.

Thus, LCM of Fractions is 1369998.Finally, LCM of Fractions for 18/318, 83/221, 917/215 is 1369998.