Least Common Multiple of 6156/451, 9804/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6156/451, 9804/189 quickly i.e. 264708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6156/451, 9804/189 is 264708.

LCM(6156/451, 9804/189) = 264708

LCM of 6156/451, 9804/189

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 6156/451,9804/189

Given numbers are 6156/451,9804/189

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 6156,9804

Least Common Multiple of Numerators i.e. LCM of 6156,9804 is 264708.

GCF of Denominators means GCF of 451,189 as per the given fractions.

GCF of 451,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6156,9804

LCM of Fractions 6156/451,9804/189 is 264708

2 6156, 9804
2 3078, 4902
3 1539, 2451
19 513, 817
27, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 27 x 43 = 264708

Least Common Multiple of 6156,9804 with GCF Formula

Least Common Multiple of 6156,9804 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 6156,9804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6156,9804) = 228

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

GCF(6156,9804) x common factors =228 x 1 = 228

LCM(6156,9804) = ( 6156 × 9804 ) / 228

LCM(6156,9804) = 60353424 / 228

LCM(6156,9804) = 264708


Lets's calculate GCF of 451,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264708/1

Therefore the LCM of Fractions 6156/451,9804/189 is 264708

Greatest Common Factor of 451,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,189 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 451,189 . The biggest common factor number is the GCF number.
So the greatest common factor 451,189 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 6156/451, 9804/189

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 6156/451, 9804/189?

Answer: LCM of Numerators as per given numbers 6156/451, 9804/189 is

LCM of Numerators i.e. for 6156,9804 is 264708

GCF of denominators i.e. for 451,189 is 1.

Thus, LCM of Fractions is 264708.Finally, LCM of Fractions for 6156/451, 9804/189 is 264708.