Least Common Multiple of 8721/344, 3986/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8721/344, 3986/618 quickly i.e. 17380953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8721/344, 3986/618 is 17380953.

LCM(8721/344, 3986/618) = 17380953

LCM of 8721/344, 3986/618

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 8721/344,3986/618

Given numbers are 8721/344,3986/618

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 8721,3986

Least Common Multiple of Numerators i.e. LCM of 8721,3986 is 34761906.

GCF of Denominators means GCF of 344,618 as per the given fractions.

GCF of 344,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8721,3986

LCM of Fractions 8721/344,3986/618 is 17380953

Given numbers has no common factors except 1. So, there LCM is their product i.e 34761906

Least Common Multiple of 8721,3986 with GCF Formula

Least Common Multiple of 8721,3986 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 8721,3986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8721,3986) = 1

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

GCF(8721,3986) x common factors =1 x 1 = 1

LCM(8721,3986) = ( 8721 × 3986 ) / 1

LCM(8721,3986) = 34761906 / 1

LCM(8721,3986) = 34761906


Lets's calculate GCF of 344,618

2 344, 618
172, 309

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34761906/2

Therefore the LCM of Fractions 8721/344,3986/618 is 17380953

Greatest Common Factor of 344,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,618 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 344,618 . The biggest common factor number is the GCF number.
So the greatest common factor 344,618 is 2.


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 8721/344, 3986/618

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 8721/344, 3986/618?

Answer: LCM of Numerators as per given numbers 8721/344, 3986/618 is

LCM of Numerators i.e. for 8721,3986 is 34761906

GCF of denominators i.e. for 344,618 is 2.

Thus, LCM of Fractions is 17380953.Finally, LCM of Fractions for 8721/344, 3986/618 is 17380953.