Least Common Multiple of 625/42, 547/69, 204/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 625/42, 547/69, 204/828 quickly i.e. 23247500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/42, 547/69, 204/828 is 23247500.

LCM(625/42, 547/69, 204/828) = 23247500

LCM of 625/42, 547/69, 204/828

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 625/42,547/69,204/828

Given numbers are 625/42,547/69,204/828

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 625,547,204

Least Common Multiple of Numerators i.e. LCM of 625,547,204 is 69742500.

GCF of Denominators means GCF of 42,69,828 as per the given fractions.

GCF of 42,69,828 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,547,204

LCM of Fractions 625/42,547/69,204/828 is 23247500

Given numbers has no common factors except 1. So, there LCM is their product i.e 69742500

Least Common Multiple of 625,547,204 with GCF Formula

Least Common Multiple of 625,547,204 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 625,547,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,547,204) = 1

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

GCF(625,547,204) x common factors =1 x 1 = 1

LCM(625,547,204) = ( 625 × 547 × 204 ) / 1

LCM(625,547,204) = 69742500 / 1

LCM(625,547,204) = 69742500


Lets's calculate GCF of 42,69,828

3 42, 69, 828
14, 23, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69742500/3

Therefore the LCM of Fractions 625/42,547/69,204/828 is 23247500

Greatest Common Factor of 42,69,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,69,828 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 42,69,828 . The biggest common factor number is the GCF number.
So the greatest common factor 42,69,828 is 3.


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 625/42, 547/69, 204/828

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 625/42, 547/69, 204/828?

Answer: LCM of Numerators as per given numbers 625/42, 547/69, 204/828 is

LCM of Numerators i.e. for 625,547,204 is 69742500

GCF of denominators i.e. for 42,69,828 is 3.

Thus, LCM of Fractions is 23247500.Finally, LCM of Fractions for 625/42, 547/69, 204/828 is 23247500.