Least Common Multiple of 39/329, 540/733, 874/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/329, 540/733, 874/382 quickly i.e. 3067740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/329, 540/733, 874/382 is 3067740.

LCM(39/329, 540/733, 874/382) = 3067740

LCM of 39/329, 540/733, 874/382

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 39/329,540/733,874/382

Given numbers are 39/329,540/733,874/382

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 39,540,874

Least Common Multiple of Numerators i.e. LCM of 39,540,874 is 3067740.

GCF of Denominators means GCF of 329,733,382 as per the given fractions.

GCF of 329,733,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,540,874

LCM of Fractions 39/329,540/733,874/382 is 3067740

2 39, 540, 874
3 39, 270, 437
13, 90, 437

∴ So the LCM of the given numbers is 2 x 3 x 13 x 90 x 437 = 3067740

Least Common Multiple of 39,540,874 with GCF Formula

Least Common Multiple of 39,540,874 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 39,540,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,540,874) = 1

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

GCF(39,540,874) x common factors =1 x 6 = 6

LCM(39,540,874) = ( 39 × 540 × 874 ) / 6

LCM(39,540,874) = 18406440 / 6

LCM(39,540,874) = 3067740


Lets's calculate GCF of 329,733,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3067740/1

Therefore the LCM of Fractions 39/329,540/733,874/382 is 3067740

Greatest Common Factor of 329,733,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,733,382 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 329,733,382 . The biggest common factor number is the GCF number.
So the greatest common factor 329,733,382 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 39/329, 540/733, 874/382

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 39/329, 540/733, 874/382?

Answer: LCM of Numerators as per given numbers 39/329, 540/733, 874/382 is

LCM of Numerators i.e. for 39,540,874 is 3067740

GCF of denominators i.e. for 329,733,382 is 1.

Thus, LCM of Fractions is 3067740.Finally, LCM of Fractions for 39/329, 540/733, 874/382 is 3067740.