Least Common Multiple of 36/38, 209/32, 428/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/38, 209/32, 428/294 quickly i.e. 402534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/38, 209/32, 428/294 is 402534.

LCM(36/38, 209/32, 428/294) = 402534

LCM of 36/38, 209/32, 428/294

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 36/38,209/32,428/294

Given numbers are 36/38,209/32,428/294

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 36,209,428

Least Common Multiple of Numerators i.e. LCM of 36,209,428 is 805068.

GCF of Denominators means GCF of 38,32,294 as per the given fractions.

GCF of 38,32,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,209,428

LCM of Fractions 36/38,209/32,428/294 is 402534

2 36, 209, 428
2 18, 209, 214
9, 209, 107

∴ So the LCM of the given numbers is 2 x 2 x 9 x 209 x 107 = 805068

Least Common Multiple of 36,209,428 with GCF Formula

Least Common Multiple of 36,209,428 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 36,209,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,209,428) = 1

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

GCF(36,209,428) x common factors =1 x 4 = 4

LCM(36,209,428) = ( 36 × 209 × 428 ) / 4

LCM(36,209,428) = 3220272 / 4

LCM(36,209,428) = 805068


Lets's calculate GCF of 38,32,294

2 38, 32, 294
19, 16, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805068/2

Therefore the LCM of Fractions 36/38,209/32,428/294 is 402534

Greatest Common Factor of 38,32,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,32,294 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 38,32,294 . The biggest common factor number is the GCF number.
So the greatest common factor 38,32,294 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 36/38, 209/32, 428/294

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 36/38, 209/32, 428/294?

Answer: LCM of Numerators as per given numbers 36/38, 209/32, 428/294 is

LCM of Numerators i.e. for 36,209,428 is 805068

GCF of denominators i.e. for 38,32,294 is 2.

Thus, LCM of Fractions is 402534.Finally, LCM of Fractions for 36/38, 209/32, 428/294 is 402534.