Least Common Multiple of 86/130, 818/409, 479/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/130, 818/409, 479/983 quickly i.e. 16848346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/130, 818/409, 479/983 is 16848346.

LCM(86/130, 818/409, 479/983) = 16848346

LCM of 86/130, 818/409, 479/983

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 86/130,818/409,479/983

Given numbers are 86/130,818/409,479/983

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 86,818,479

Least Common Multiple of Numerators i.e. LCM of 86,818,479 is 16848346.

GCF of Denominators means GCF of 130,409,983 as per the given fractions.

GCF of 130,409,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,818,479

LCM of Fractions 86/130,818/409,479/983 is 16848346

2 86, 818, 479
43, 409, 479

∴ So the LCM of the given numbers is 2 x 43 x 409 x 479 = 16848346

Least Common Multiple of 86,818,479 with GCF Formula

Least Common Multiple of 86,818,479 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 86,818,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,818,479) = 1

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

GCF(86,818,479) x common factors =1 x 2 = 2

LCM(86,818,479) = ( 86 × 818 × 479 ) / 2

LCM(86,818,479) = 33696692 / 2

LCM(86,818,479) = 16848346


Lets's calculate GCF of 130,409,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16848346/1

Therefore the LCM of Fractions 86/130,818/409,479/983 is 16848346

Greatest Common Factor of 130,409,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,409,983 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 130,409,983 . The biggest common factor number is the GCF number.
So the greatest common factor 130,409,983 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 86/130, 818/409, 479/983

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 86/130, 818/409, 479/983?

Answer: LCM of Numerators as per given numbers 86/130, 818/409, 479/983 is

LCM of Numerators i.e. for 86,818,479 is 16848346

GCF of denominators i.e. for 130,409,983 is 1.

Thus, LCM of Fractions is 16848346.Finally, LCM of Fractions for 86/130, 818/409, 479/983 is 16848346.