Least Common Multiple of 3486/71, 1386/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3486/71, 1386/616 quickly i.e. 115038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3486/71, 1386/616 is 115038.

LCM(3486/71, 1386/616) = 115038

LCM of 3486/71, 1386/616

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 3486/71,1386/616

Given numbers are 3486/71,1386/616

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 3486,1386

Least Common Multiple of Numerators i.e. LCM of 3486,1386 is 115038.

GCF of Denominators means GCF of 71,616 as per the given fractions.

GCF of 71,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3486,1386

LCM of Fractions 3486/71,1386/616 is 115038

2 3486, 1386
3 1743, 693
7 581, 231
83, 33

∴ So the LCM of the given numbers is 2 x 3 x 7 x 83 x 33 = 115038

Least Common Multiple of 3486,1386 with GCF Formula

Least Common Multiple of 3486,1386 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 3486,1386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3486,1386) = 42

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

GCF(3486,1386) x common factors =42 x 1 = 42

LCM(3486,1386) = ( 3486 × 1386 ) / 42

LCM(3486,1386) = 4831596 / 42

LCM(3486,1386) = 115038


Lets's calculate GCF of 71,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115038/1

Therefore the LCM of Fractions 3486/71,1386/616 is 115038

Greatest Common Factor of 71,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,616 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 71,616 . The biggest common factor number is the GCF number.
So the greatest common factor 71,616 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 3486/71, 1386/616

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 3486/71, 1386/616?

Answer: LCM of Numerators as per given numbers 3486/71, 1386/616 is

LCM of Numerators i.e. for 3486,1386 is 115038

GCF of denominators i.e. for 71,616 is 1.

Thus, LCM of Fractions is 115038.Finally, LCM of Fractions for 3486/71, 1386/616 is 115038.