Least Common Multiple of 204/87, 924/76, 499/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/87, 924/76, 499/548 quickly i.e. 7838292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/87, 924/76, 499/548 is 7838292.

LCM(204/87, 924/76, 499/548) = 7838292

LCM of 204/87, 924/76, 499/548

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 204/87,924/76,499/548

Given numbers are 204/87,924/76,499/548

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 204,924,499

Least Common Multiple of Numerators i.e. LCM of 204,924,499 is 7838292.

GCF of Denominators means GCF of 87,76,548 as per the given fractions.

GCF of 87,76,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,924,499

LCM of Fractions 204/87,924/76,499/548 is 7838292

2 204, 924, 499
2 102, 462, 499
3 51, 231, 499
17, 77, 499

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 77 x 499 = 7838292

Least Common Multiple of 204,924,499 with GCF Formula

Least Common Multiple of 204,924,499 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 204,924,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,924,499) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(204,924,499) x common factors =1 x 12 = 12

LCM(204,924,499) = ( 204 × 924 × 499 ) / 12

LCM(204,924,499) = 94059504 / 12

LCM(204,924,499) = 7838292


Lets's calculate GCF of 87,76,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7838292/1

Therefore the LCM of Fractions 204/87,924/76,499/548 is 7838292

Greatest Common Factor of 87,76,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,76,548 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 87,76,548 . The biggest common factor number is the GCF number.
So the greatest common factor 87,76,548 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 204/87, 924/76, 499/548

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 204/87, 924/76, 499/548?

Answer: LCM of Numerators as per given numbers 204/87, 924/76, 499/548 is

LCM of Numerators i.e. for 204,924,499 is 7838292

GCF of denominators i.e. for 87,76,548 is 1.

Thus, LCM of Fractions is 7838292.Finally, LCM of Fractions for 204/87, 924/76, 499/548 is 7838292.