Least Common Multiple of 6204/327, 3520/8707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6204/327, 3520/8707 quickly i.e. 496320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6204/327, 3520/8707 is 496320.

LCM(6204/327, 3520/8707) = 496320

LCM of 6204/327, 3520/8707

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 6204/327,3520/8707

Given numbers are 6204/327,3520/8707

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 6204,3520

Least Common Multiple of Numerators i.e. LCM of 6204,3520 is 496320.

GCF of Denominators means GCF of 327,8707 as per the given fractions.

GCF of 327,8707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6204,3520

LCM of Fractions 6204/327,3520/8707 is 496320

2 6204, 3520
2 3102, 1760
11 1551, 880
141, 80

∴ So the LCM of the given numbers is 2 x 2 x 11 x 141 x 80 = 496320

Least Common Multiple of 6204,3520 with GCF Formula

Least Common Multiple of 6204,3520 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 6204,3520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6204,3520) = 44

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

GCF(6204,3520) x common factors =44 x 1 = 44

LCM(6204,3520) = ( 6204 × 3520 ) / 44

LCM(6204,3520) = 21838080 / 44

LCM(6204,3520) = 496320


Lets's calculate GCF of 327,8707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496320/1

Therefore the LCM of Fractions 6204/327,3520/8707 is 496320

Greatest Common Factor of 327,8707 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,8707 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 8707

List of positive integer factors of 8707 that divides 8707 without a remainder.

1,8707

Greatest Common Factor

We found the factors 327,8707 . The biggest common factor number is the GCF number.
So the greatest common factor 327,8707 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 6204/327, 3520/8707

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 6204/327, 3520/8707?

Answer: LCM of Numerators as per given numbers 6204/327, 3520/8707 is

LCM of Numerators i.e. for 6204,3520 is 496320

GCF of denominators i.e. for 327,8707 is 1.

Thus, LCM of Fractions is 496320.Finally, LCM of Fractions for 6204/327, 3520/8707 is 496320.