Least Common Multiple of 6000/423, 8708/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6000/423, 8708/282 quickly i.e. 13062000/141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6000/423, 8708/282 is 13062000/141.

LCM(6000/423, 8708/282) = 13062000/141

LCM of 6000/423, 8708/282

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 6000/423,8708/282

Given numbers are 6000/423,8708/282

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 6000,8708

Least Common Multiple of Numerators i.e. LCM of 6000,8708 is 13062000.

GCF of Denominators means GCF of 423,282 as per the given fractions.

GCF of 423,282 is 141 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6000,8708

LCM of Fractions 6000/423,8708/282 is 13062000/141

2 6000, 8708
2 3000, 4354
1500, 2177

∴ So the LCM of the given numbers is 2 x 2 x 1500 x 2177 = 13062000

Least Common Multiple of 6000,8708 with GCF Formula

Least Common Multiple of 6000,8708 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 6000,8708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6000,8708) = 4

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

GCF(6000,8708) x common factors =4 x 1 = 4

LCM(6000,8708) = ( 6000 × 8708 ) / 4

LCM(6000,8708) = 52248000 / 4

LCM(6000,8708) = 13062000


Lets's calculate GCF of 423,282

3 423, 282
47 141, 94
3, 2

∴ So the GCF of the given numbers is 3 x 47 = 141

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13062000/141

Therefore the LCM of Fractions 6000/423,8708/282 is 13062000/141

Greatest Common Factor of 423,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,282 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 423,282 . The biggest common factor number is the GCF number.
So the greatest common factor 423,282 is 141.


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 6000/423, 8708/282

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 6000/423, 8708/282?

Answer: LCM of Numerators as per given numbers 6000/423, 8708/282 is

LCM of Numerators i.e. for 6000,8708 is 13062000

GCF of denominators i.e. for 423,282 is 141.

Thus, LCM of Fractions is 13062000/141.Finally, LCM of Fractions for 6000/423, 8708/282 is 13062000/141.