Least Common Multiple of 36/40, 34/53, 12/94, 99/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/40, 34/53, 12/94, 99/304 quickly i.e. 6732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/40, 34/53, 12/94, 99/304 is 6732.

LCM(36/40, 34/53, 12/94, 99/304) = 6732

LCM of 36/40, 34/53, 12/94, 99/304

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 36/40,34/53,12/94,99/304

Given numbers are 36/40,34/53,12/94,99/304

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 36,34,12,99

Least Common Multiple of Numerators i.e. LCM of 36,34,12,99 is 6732.

GCF of Denominators means GCF of 40,53,94,304 as per the given fractions.

GCF of 40,53,94,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,34,12,99

LCM of Fractions 36/40,34/53,12/94,99/304 is 6732

2 36, 34, 12, 99
2 18, 17, 6, 99
3 9, 17, 3, 99
3 1, 17, 3, 33
1, 17, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 17 x 1 x 11 = 6732

Least Common Multiple of 36,34,12,99 with GCF Formula

Least Common Multiple of 36,34,12,99 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 36,34,12,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,34,12,99) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(36,34,12,99) x common factors =1 x 216 = 216

LCM(36,34,12,99) = ( 36 × 34 × 12 × 99 ) / 216

LCM(36,34,12,99) = 1454112 / 216

LCM(36,34,12,99) = 6732


Lets's calculate GCF of 40,53,94,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6732/1

Therefore the LCM of Fractions 36/40,34/53,12/94,99/304 is 6732

Greatest Common Factor of 40,53,94,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,53,94,304 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 40,53,94,304 . The biggest common factor number is the GCF number.
So the greatest common factor 40,53,94,304 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 36/40, 34/53, 12/94, 99/304

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 36/40, 34/53, 12/94, 99/304?

Answer: LCM of Numerators as per given numbers 36/40, 34/53, 12/94, 99/304 is

LCM of Numerators i.e. for 36,34,12,99 is 6732

GCF of denominators i.e. for 40,53,94,304 is 1.

Thus, LCM of Fractions is 6732.Finally, LCM of Fractions for 36/40, 34/53, 12/94, 99/304 is 6732.