Least Common Multiple of 41/452, 24/736, 205/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/452, 24/736, 205/458 quickly i.e. 2460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/452, 24/736, 205/458 is 2460.

LCM(41/452, 24/736, 205/458) = 2460

LCM of 41/452, 24/736, 205/458

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 41/452,24/736,205/458

Given numbers are 41/452,24/736,205/458

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 41,24,205

Least Common Multiple of Numerators i.e. LCM of 41,24,205 is 4920.

GCF of Denominators means GCF of 452,736,458 as per the given fractions.

GCF of 452,736,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,24,205

LCM of Fractions 41/452,24/736,205/458 is 2460

41 41, 24, 205
1, 24, 5

∴ So the LCM of the given numbers is 41 x 1 x 24 x 5 = 4920

Least Common Multiple of 41,24,205 with GCF Formula

Least Common Multiple of 41,24,205 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 41,24,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,24,205) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(41,24,205) x common factors =1 x 41 = 41

LCM(41,24,205) = ( 41 × 24 × 205 ) / 41

LCM(41,24,205) = 201720 / 41

LCM(41,24,205) = 4920


Lets's calculate GCF of 452,736,458

2 452, 736, 458
226, 368, 229

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4920/2

Therefore the LCM of Fractions 41/452,24/736,205/458 is 2460

Greatest Common Factor of 452,736,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,736,458 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 452,736,458 . The biggest common factor number is the GCF number.
So the greatest common factor 452,736,458 is 2.


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 41/452, 24/736, 205/458

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 41/452, 24/736, 205/458?

Answer: LCM of Numerators as per given numbers 41/452, 24/736, 205/458 is

LCM of Numerators i.e. for 41,24,205 is 4920

GCF of denominators i.e. for 452,736,458 is 2.

Thus, LCM of Fractions is 2460.Finally, LCM of Fractions for 41/452, 24/736, 205/458 is 2460.