Least Common Multiple of 114/72, 8484/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/72, 8484/236 quickly i.e. 40299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/72, 8484/236 is 40299.

LCM(114/72, 8484/236) = 40299

LCM of 114/72, 8484/236

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 114/72,8484/236

Given numbers are 114/72,8484/236

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 114,8484

Least Common Multiple of Numerators i.e. LCM of 114,8484 is 161196.

GCF of Denominators means GCF of 72,236 as per the given fractions.

GCF of 72,236 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,8484

LCM of Fractions 114/72,8484/236 is 40299

2 114, 8484
3 57, 4242
19, 1414

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1414 = 161196

Least Common Multiple of 114,8484 with GCF Formula

Least Common Multiple of 114,8484 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 114,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,8484) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(114,8484) x common factors =6 x 1 = 6

LCM(114,8484) = ( 114 × 8484 ) / 6

LCM(114,8484) = 967176 / 6

LCM(114,8484) = 161196


Lets's calculate GCF of 72,236

2 72, 236
2 36, 118
18, 59

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161196/4

Therefore the LCM of Fractions 114/72,8484/236 is 40299

Greatest Common Factor of 72,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,236 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 72,236 . The biggest common factor number is the GCF number.
So the greatest common factor 72,236 is 4.


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 114/72, 8484/236

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 114/72, 8484/236?

Answer: LCM of Numerators as per given numbers 114/72, 8484/236 is

LCM of Numerators i.e. for 114,8484 is 161196

GCF of denominators i.e. for 72,236 is 4.

Thus, LCM of Fractions is 40299.Finally, LCM of Fractions for 114/72, 8484/236 is 40299.