Least Common Multiple of 144/684, 452/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/684, 452/516 quickly i.e. 1356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/684, 452/516 is 1356.

LCM(144/684, 452/516) = 1356

LCM of 144/684, 452/516

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 144/684,452/516

Given numbers are 144/684,452/516

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 144,452

Least Common Multiple of Numerators i.e. LCM of 144,452 is 16272.

GCF of Denominators means GCF of 684,516 as per the given fractions.

GCF of 684,516 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,452

LCM of Fractions 144/684,452/516 is 1356

2 144, 452
2 72, 226
36, 113

∴ So the LCM of the given numbers is 2 x 2 x 36 x 113 = 16272

Least Common Multiple of 144,452 with GCF Formula

Least Common Multiple of 144,452 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 144,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,452) = 4

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

GCF(144,452) x common factors =4 x 1 = 4

LCM(144,452) = ( 144 × 452 ) / 4

LCM(144,452) = 65088 / 4

LCM(144,452) = 16272


Lets's calculate GCF of 684,516

2 684, 516
2 342, 258
3 171, 129
57, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16272/12

Therefore the LCM of Fractions 144/684,452/516 is 1356

Greatest Common Factor of 684,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,516 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 684,516 . The biggest common factor number is the GCF number.
So the greatest common factor 684,516 is 12.


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 144/684, 452/516

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 144/684, 452/516?

Answer: LCM of Numerators as per given numbers 144/684, 452/516 is

LCM of Numerators i.e. for 144,452 is 16272

GCF of denominators i.e. for 684,516 is 12.

Thus, LCM of Fractions is 1356.Finally, LCM of Fractions for 144/684, 452/516 is 1356.