Least Common Multiple of 295/405, 132/207, 892/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/405, 132/207, 892/249 quickly i.e. 2894540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/405, 132/207, 892/249 is 2894540.

LCM(295/405, 132/207, 892/249) = 2894540

LCM of 295/405, 132/207, 892/249

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 295/405,132/207,892/249

Given numbers are 295/405,132/207,892/249

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 295,132,892

Least Common Multiple of Numerators i.e. LCM of 295,132,892 is 8683620.

GCF of Denominators means GCF of 405,207,249 as per the given fractions.

GCF of 405,207,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,132,892

LCM of Fractions 295/405,132/207,892/249 is 2894540

2 295, 132, 892
2 295, 66, 446
295, 33, 223

∴ So the LCM of the given numbers is 2 x 2 x 295 x 33 x 223 = 8683620

Least Common Multiple of 295,132,892 with GCF Formula

Least Common Multiple of 295,132,892 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 295,132,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,132,892) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(295,132,892) x common factors =1 x 4 = 4

LCM(295,132,892) = ( 295 × 132 × 892 ) / 4

LCM(295,132,892) = 34734480 / 4

LCM(295,132,892) = 8683620


Lets's calculate GCF of 405,207,249

3 405, 207, 249
135, 69, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8683620/3

Therefore the LCM of Fractions 295/405,132/207,892/249 is 2894540

Greatest Common Factor of 405,207,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,207,249 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 405,207,249 . The biggest common factor number is the GCF number.
So the greatest common factor 405,207,249 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 295/405, 132/207, 892/249

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 295/405, 132/207, 892/249?

Answer: LCM of Numerators as per given numbers 295/405, 132/207, 892/249 is

LCM of Numerators i.e. for 295,132,892 is 8683620

GCF of denominators i.e. for 405,207,249 is 3.

Thus, LCM of Fractions is 2894540.Finally, LCM of Fractions for 295/405, 132/207, 892/249 is 2894540.