Least Common Multiple of 6477/159, 6589/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6477/159, 6589/986 quickly i.e. 42676953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6477/159, 6589/986 is 42676953.

LCM(6477/159, 6589/986) = 42676953

LCM of 6477/159, 6589/986

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 6477/159,6589/986

Given numbers are 6477/159,6589/986

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 6477,6589

Least Common Multiple of Numerators i.e. LCM of 6477,6589 is 42676953.

GCF of Denominators means GCF of 159,986 as per the given fractions.

GCF of 159,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6477,6589

LCM of Fractions 6477/159,6589/986 is 42676953

Given numbers has no common factors except 1. So, there LCM is their product i.e 42676953

Least Common Multiple of 6477,6589 with GCF Formula

Least Common Multiple of 6477,6589 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 6477,6589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6477,6589) = 1

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

GCF(6477,6589) x common factors =1 x 1 = 1

LCM(6477,6589) = ( 6477 × 6589 ) / 1

LCM(6477,6589) = 42676953 / 1

LCM(6477,6589) = 42676953


Lets's calculate GCF of 159,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42676953/1

Therefore the LCM of Fractions 6477/159,6589/986 is 42676953

Greatest Common Factor of 159,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,986 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 159,986 . The biggest common factor number is the GCF number.
So the greatest common factor 159,986 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6477/159, 6589/986

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 6477/159, 6589/986?

Answer: LCM of Numerators as per given numbers 6477/159, 6589/986 is

LCM of Numerators i.e. for 6477,6589 is 42676953

GCF of denominators i.e. for 159,986 is 1.

Thus, LCM of Fractions is 42676953.Finally, LCM of Fractions for 6477/159, 6589/986 is 42676953.