Least Common Multiple of 473/87, 499/7668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 473/87, 499/7668 quickly i.e. 236027/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 473/87, 499/7668 is 236027/3.

LCM(473/87, 499/7668) = 236027/3

LCM of 473/87, 499/7668

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 473/87,499/7668

Given numbers are 473/87,499/7668

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 473,499

Least Common Multiple of Numerators i.e. LCM of 473,499 is 236027.

GCF of Denominators means GCF of 87,7668 as per the given fractions.

GCF of 87,7668 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 473,499

LCM of Fractions 473/87,499/7668 is 236027/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 236027

Least Common Multiple of 473,499 with GCF Formula

Least Common Multiple of 473,499 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 473,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,499) = 1

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

GCF(473,499) x common factors =1 x 1 = 1

LCM(473,499) = ( 473 × 499 ) / 1

LCM(473,499) = 236027 / 1

LCM(473,499) = 236027


Lets's calculate GCF of 87,7668

3 87, 7668
29, 2556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236027/3

Therefore the LCM of Fractions 473/87,499/7668 is 236027/3

Greatest Common Factor of 87,7668 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,7668 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors 87,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 87,7668 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 473/87, 499/7668

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 473/87, 499/7668?

Answer: LCM of Numerators as per given numbers 473/87, 499/7668 is

LCM of Numerators i.e. for 473,499 is 236027

GCF of denominators i.e. for 87,7668 is 3.

Thus, LCM of Fractions is 236027/3.Finally, LCM of Fractions for 473/87, 499/7668 is 236027/3.