Least Common Multiple of 6000/123, 6702/2861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6000/123, 6702/2861 quickly i.e. 6702000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6000/123, 6702/2861 is 6702000.

LCM(6000/123, 6702/2861) = 6702000

LCM of 6000/123, 6702/2861

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 6000/123,6702/2861

Given numbers are 6000/123,6702/2861

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 6000,6702

Least Common Multiple of Numerators i.e. LCM of 6000,6702 is 6702000.

GCF of Denominators means GCF of 123,2861 as per the given fractions.

GCF of 123,2861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6000,6702

LCM of Fractions 6000/123,6702/2861 is 6702000

2 6000, 6702
3 3000, 3351
1000, 1117

∴ So the LCM of the given numbers is 2 x 3 x 1000 x 1117 = 6702000

Least Common Multiple of 6000,6702 with GCF Formula

Least Common Multiple of 6000,6702 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 6000,6702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6000,6702) = 6

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

GCF(6000,6702) x common factors =6 x 1 = 6

LCM(6000,6702) = ( 6000 × 6702 ) / 6

LCM(6000,6702) = 40212000 / 6

LCM(6000,6702) = 6702000


Lets's calculate GCF of 123,2861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6702000/1

Therefore the LCM of Fractions 6000/123,6702/2861 is 6702000

Greatest Common Factor of 123,2861 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,2861 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 2861

List of positive integer factors of 2861 that divides 2861 without a remainder.

1,2861

Greatest Common Factor

We found the factors 123,2861 . The biggest common factor number is the GCF number.
So the greatest common factor 123,2861 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 6000/123, 6702/2861

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 6000/123, 6702/2861?

Answer: LCM of Numerators as per given numbers 6000/123, 6702/2861 is

LCM of Numerators i.e. for 6000,6702 is 6702000

GCF of denominators i.e. for 123,2861 is 1.

Thus, LCM of Fractions is 6702000.Finally, LCM of Fractions for 6000/123, 6702/2861 is 6702000.