Least Common Multiple of 66/468, 9647/4023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/468, 9647/4023 quickly i.e. 57882/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/468, 9647/4023 is 57882/9.

LCM(66/468, 9647/4023) = 57882/9

LCM of 66/468, 9647/4023

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 66/468,9647/4023

Given numbers are 66/468,9647/4023

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 66,9647

Least Common Multiple of Numerators i.e. LCM of 66,9647 is 57882.

GCF of Denominators means GCF of 468,4023 as per the given fractions.

GCF of 468,4023 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,9647

LCM of Fractions 66/468,9647/4023 is 57882/9

11 66, 9647
6, 877

∴ So the LCM of the given numbers is 11 x 6 x 877 = 57882

Least Common Multiple of 66,9647 with GCF Formula

Least Common Multiple of 66,9647 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 66,9647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,9647) = 11

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

GCF(66,9647) x common factors =11 x 1 = 11

LCM(66,9647) = ( 66 × 9647 ) / 11

LCM(66,9647) = 636702 / 11

LCM(66,9647) = 57882


Lets's calculate GCF of 468,4023

3 468, 4023
3 156, 1341
52, 447

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57882/9

Therefore the LCM of Fractions 66/468,9647/4023 is 57882/9

Greatest Common Factor of 468,4023 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,4023 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1,3,9,27,149,447,1341,4023

Greatest Common Factor

We found the factors 468,4023 . The biggest common factor number is the GCF number.
So the greatest common factor 468,4023 is 9.


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 66/468, 9647/4023

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 66/468, 9647/4023?

Answer: LCM of Numerators as per given numbers 66/468, 9647/4023 is

LCM of Numerators i.e. for 66,9647 is 57882

GCF of denominators i.e. for 468,4023 is 9.

Thus, LCM of Fractions is 57882/9.Finally, LCM of Fractions for 66/468, 9647/4023 is 57882/9.