Least Common Multiple of 666/817, 155/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 666/817, 155/214 quickly i.e. 103230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/817, 155/214 is 103230.

LCM(666/817, 155/214) = 103230

LCM of 666/817, 155/214

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 666/817,155/214

Given numbers are 666/817,155/214

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 666,155

Least Common Multiple of Numerators i.e. LCM of 666,155 is 103230.

GCF of Denominators means GCF of 817,214 as per the given fractions.

GCF of 817,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,155

LCM of Fractions 666/817,155/214 is 103230

Given numbers has no common factors except 1. So, there LCM is their product i.e 103230

Least Common Multiple of 666,155 with GCF Formula

Least Common Multiple of 666,155 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 666,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,155) = 1

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

GCF(666,155) x common factors =1 x 1 = 1

LCM(666,155) = ( 666 × 155 ) / 1

LCM(666,155) = 103230 / 1

LCM(666,155) = 103230


Lets's calculate GCF of 817,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103230/1

Therefore the LCM of Fractions 666/817,155/214 is 103230

Greatest Common Factor of 817,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,214 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 817,214 . The biggest common factor number is the GCF number.
So the greatest common factor 817,214 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 666/817, 155/214

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 666/817, 155/214?

Answer: LCM of Numerators as per given numbers 666/817, 155/214 is

LCM of Numerators i.e. for 666,155 is 103230

GCF of denominators i.e. for 817,214 is 1.

Thus, LCM of Fractions is 103230.Finally, LCM of Fractions for 666/817, 155/214 is 103230.