Least Common Multiple of 71/615, 1446/1418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/615, 1446/1418 quickly i.e. 102666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/615, 1446/1418 is 102666.

LCM(71/615, 1446/1418) = 102666

LCM of 71/615, 1446/1418

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 71/615,1446/1418

Given numbers are 71/615,1446/1418

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 71,1446

Least Common Multiple of Numerators i.e. LCM of 71,1446 is 102666.

GCF of Denominators means GCF of 615,1418 as per the given fractions.

GCF of 615,1418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,1446

LCM of Fractions 71/615,1446/1418 is 102666

Given numbers has no common factors except 1. So, there LCM is their product i.e 102666

Least Common Multiple of 71,1446 with GCF Formula

Least Common Multiple of 71,1446 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 71,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,1446) = 1

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

GCF(71,1446) x common factors =1 x 1 = 1

LCM(71,1446) = ( 71 × 1446 ) / 1

LCM(71,1446) = 102666 / 1

LCM(71,1446) = 102666


Lets's calculate GCF of 615,1418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102666/1

Therefore the LCM of Fractions 71/615,1446/1418 is 102666

Greatest Common Factor of 615,1418 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,1418 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

Greatest Common Factor

We found the factors 615,1418 . The biggest common factor number is the GCF number.
So the greatest common factor 615,1418 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 71/615, 1446/1418

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 71/615, 1446/1418?

Answer: LCM of Numerators as per given numbers 71/615, 1446/1418 is

LCM of Numerators i.e. for 71,1446 is 102666

GCF of denominators i.e. for 615,1418 is 1.

Thus, LCM of Fractions is 102666.Finally, LCM of Fractions for 71/615, 1446/1418 is 102666.