Least Common Multiple of 24/541, 306/676, 554/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/541, 306/676, 554/334 quickly i.e. 339048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/541, 306/676, 554/334 is 339048.

LCM(24/541, 306/676, 554/334) = 339048

LCM of 24/541, 306/676, 554/334

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 24/541,306/676,554/334

Given numbers are 24/541,306/676,554/334

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 24,306,554

Least Common Multiple of Numerators i.e. LCM of 24,306,554 is 339048.

GCF of Denominators means GCF of 541,676,334 as per the given fractions.

GCF of 541,676,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,306,554

LCM of Fractions 24/541,306/676,554/334 is 339048

2 24, 306, 554
3 12, 153, 277
4, 51, 277

∴ So the LCM of the given numbers is 2 x 3 x 4 x 51 x 277 = 339048

Least Common Multiple of 24,306,554 with GCF Formula

Least Common Multiple of 24,306,554 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 24,306,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,306,554) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(24,306,554) x common factors =2 x 6 = 12

LCM(24,306,554) = ( 24 × 306 × 554 ) / 12

LCM(24,306,554) = 4068576 / 12

LCM(24,306,554) = 339048


Lets's calculate GCF of 541,676,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339048/1

Therefore the LCM of Fractions 24/541,306/676,554/334 is 339048

Greatest Common Factor of 541,676,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,676,334 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 541,676,334 . The biggest common factor number is the GCF number.
So the greatest common factor 541,676,334 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 24/541, 306/676, 554/334

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 24/541, 306/676, 554/334?

Answer: LCM of Numerators as per given numbers 24/541, 306/676, 554/334 is

LCM of Numerators i.e. for 24,306,554 is 339048

GCF of denominators i.e. for 541,676,334 is 1.

Thus, LCM of Fractions is 339048.Finally, LCM of Fractions for 24/541, 306/676, 554/334 is 339048.