Least Common Multiple of 36/70, 14/194, 300/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/70, 14/194, 300/184 quickly i.e. 3150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/70, 14/194, 300/184 is 3150.

LCM(36/70, 14/194, 300/184) = 3150

LCM of 36/70, 14/194, 300/184

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 36/70,14/194,300/184

Given numbers are 36/70,14/194,300/184

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 36,14,300

Least Common Multiple of Numerators i.e. LCM of 36,14,300 is 6300.

GCF of Denominators means GCF of 70,194,184 as per the given fractions.

GCF of 70,194,184 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,14,300

LCM of Fractions 36/70,14/194,300/184 is 3150

2 36, 14, 300
2 18, 7, 150
3 9, 7, 75
3, 7, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 25 = 6300

Least Common Multiple of 36,14,300 with GCF Formula

Least Common Multiple of 36,14,300 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 36,14,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,14,300) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(36,14,300) x common factors =2 x 12 = 24

LCM(36,14,300) = ( 36 × 14 × 300 ) / 24

LCM(36,14,300) = 151200 / 24

LCM(36,14,300) = 6300


Lets's calculate GCF of 70,194,184

2 70, 194, 184
35, 97, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6300/2

Therefore the LCM of Fractions 36/70,14/194,300/184 is 3150

Greatest Common Factor of 70,194,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,194,184 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 70,194,184 . The biggest common factor number is the GCF number.
So the greatest common factor 70,194,184 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 36/70, 14/194, 300/184

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 36/70, 14/194, 300/184?

Answer: LCM of Numerators as per given numbers 36/70, 14/194, 300/184 is

LCM of Numerators i.e. for 36,14,300 is 6300

GCF of denominators i.e. for 70,194,184 is 2.

Thus, LCM of Fractions is 3150.Finally, LCM of Fractions for 36/70, 14/194, 300/184 is 3150.