Least Common Multiple of 873/648, 4206/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/648, 4206/109 quickly i.e. 1223946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/648, 4206/109 is 1223946.

LCM(873/648, 4206/109) = 1223946

LCM of 873/648, 4206/109

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 873/648,4206/109

Given numbers are 873/648,4206/109

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 873,4206

Least Common Multiple of Numerators i.e. LCM of 873,4206 is 1223946.

GCF of Denominators means GCF of 648,109 as per the given fractions.

GCF of 648,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,4206

LCM of Fractions 873/648,4206/109 is 1223946

3 873, 4206
291, 1402

∴ So the LCM of the given numbers is 3 x 291 x 1402 = 1223946

Least Common Multiple of 873,4206 with GCF Formula

Least Common Multiple of 873,4206 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 873,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,4206) = 3

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

GCF(873,4206) x common factors =3 x 1 = 3

LCM(873,4206) = ( 873 × 4206 ) / 3

LCM(873,4206) = 3671838 / 3

LCM(873,4206) = 1223946


Lets's calculate GCF of 648,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223946/1

Therefore the LCM of Fractions 873/648,4206/109 is 1223946

Greatest Common Factor of 648,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,109 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 648,109 . The biggest common factor number is the GCF number.
So the greatest common factor 648,109 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 873/648, 4206/109

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 873/648, 4206/109?

Answer: LCM of Numerators as per given numbers 873/648, 4206/109 is

LCM of Numerators i.e. for 873,4206 is 1223946

GCF of denominators i.e. for 648,109 is 1.

Thus, LCM of Fractions is 1223946.Finally, LCM of Fractions for 873/648, 4206/109 is 1223946.