Least Common Multiple of 450/25, 752/76, 209/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/25, 752/76, 209/754 quickly i.e. 35362800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/25, 752/76, 209/754 is 35362800.

LCM(450/25, 752/76, 209/754) = 35362800

LCM of 450/25, 752/76, 209/754

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 450/25,752/76,209/754

Given numbers are 450/25,752/76,209/754

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 450,752,209

Least Common Multiple of Numerators i.e. LCM of 450,752,209 is 35362800.

GCF of Denominators means GCF of 25,76,754 as per the given fractions.

GCF of 25,76,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,752,209

LCM of Fractions 450/25,752/76,209/754 is 35362800

2 450, 752, 209
225, 376, 209

∴ So the LCM of the given numbers is 2 x 225 x 376 x 209 = 35362800

Least Common Multiple of 450,752,209 with GCF Formula

Least Common Multiple of 450,752,209 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 450,752,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,752,209) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(450,752,209) x common factors =1 x 2 = 2

LCM(450,752,209) = ( 450 × 752 × 209 ) / 2

LCM(450,752,209) = 70725600 / 2

LCM(450,752,209) = 35362800


Lets's calculate GCF of 25,76,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35362800/1

Therefore the LCM of Fractions 450/25,752/76,209/754 is 35362800

Greatest Common Factor of 25,76,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,76,754 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 76

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

1,2,4,19,38,76

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 25,76,754 . The biggest common factor number is the GCF number.
So the greatest common factor 25,76,754 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 450/25, 752/76, 209/754

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 450/25, 752/76, 209/754?

Answer: LCM of Numerators as per given numbers 450/25, 752/76, 209/754 is

LCM of Numerators i.e. for 450,752,209 is 35362800

GCF of denominators i.e. for 25,76,754 is 1.

Thus, LCM of Fractions is 35362800.Finally, LCM of Fractions for 450/25, 752/76, 209/754 is 35362800.