Least Common Multiple of 52/18, 36/64, 48/76, 42/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/18, 36/64, 48/76, 42/784 quickly i.e. 6552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/18, 36/64, 48/76, 42/784 is 6552.

LCM(52/18, 36/64, 48/76, 42/784) = 6552

LCM of 52/18, 36/64, 48/76, 42/784

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 52/18,36/64,48/76,42/784

Given numbers are 52/18,36/64,48/76,42/784

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 52,36,48,42

Least Common Multiple of Numerators i.e. LCM of 52,36,48,42 is 13104.

GCF of Denominators means GCF of 18,64,76,784 as per the given fractions.

GCF of 18,64,76,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,36,48,42

LCM of Fractions 52/18,36/64,48/76,42/784 is 6552

2 52, 36, 48, 42
2 26, 18, 24, 21
3 13, 9, 12, 21
13, 3, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 4 x 7 = 13104

Least Common Multiple of 52,36,48,42 with GCF Formula

Least Common Multiple of 52,36,48,42 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 52,36,48,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,36,48,42) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(52,36,48,42) x common factors =2 x 144 = 288

LCM(52,36,48,42) = ( 52 × 36 × 48 × 42 ) / 288

LCM(52,36,48,42) = 3773952 / 288

LCM(52,36,48,42) = 13104


Lets's calculate GCF of 18,64,76,784

2 18, 64, 76, 784
9, 32, 38, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13104/2

Therefore the LCM of Fractions 52/18,36/64,48/76,42/784 is 6552

Greatest Common Factor of 18,64,76,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,64,76,784 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 18,64,76,784 . The biggest common factor number is the GCF number.
So the greatest common factor 18,64,76,784 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 52/18, 36/64, 48/76, 42/784

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 52/18, 36/64, 48/76, 42/784?

Answer: LCM of Numerators as per given numbers 52/18, 36/64, 48/76, 42/784 is

LCM of Numerators i.e. for 52,36,48,42 is 13104

GCF of denominators i.e. for 18,64,76,784 is 2.

Thus, LCM of Fractions is 6552.Finally, LCM of Fractions for 52/18, 36/64, 48/76, 42/784 is 6552.