Least Common Multiple of 6861/89, 1823/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6861/89, 1823/956 quickly i.e. 12507603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6861/89, 1823/956 is 12507603.

LCM(6861/89, 1823/956) = 12507603

LCM of 6861/89, 1823/956

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 6861/89,1823/956

Given numbers are 6861/89,1823/956

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 6861,1823

Least Common Multiple of Numerators i.e. LCM of 6861,1823 is 12507603.

GCF of Denominators means GCF of 89,956 as per the given fractions.

GCF of 89,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6861,1823

LCM of Fractions 6861/89,1823/956 is 12507603

Given numbers has no common factors except 1. So, there LCM is their product i.e 12507603

Least Common Multiple of 6861,1823 with GCF Formula

Least Common Multiple of 6861,1823 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 6861,1823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6861,1823) = 1

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

GCF(6861,1823) x common factors =1 x 1 = 1

LCM(6861,1823) = ( 6861 × 1823 ) / 1

LCM(6861,1823) = 12507603 / 1

LCM(6861,1823) = 12507603


Lets's calculate GCF of 89,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12507603/1

Therefore the LCM of Fractions 6861/89,1823/956 is 12507603

Greatest Common Factor of 89,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,956 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 89,956 . The biggest common factor number is the GCF number.
So the greatest common factor 89,956 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 6861/89, 1823/956

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 6861/89, 1823/956?

Answer: LCM of Numerators as per given numbers 6861/89, 1823/956 is

LCM of Numerators i.e. for 6861,1823 is 12507603

GCF of denominators i.e. for 89,956 is 1.

Thus, LCM of Fractions is 12507603.Finally, LCM of Fractions for 6861/89, 1823/956 is 12507603.