Least Common Multiple of 56/32, 30/36, 51/22, 69/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/32, 30/36, 51/22, 69/564 quickly i.e. 164220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/32, 30/36, 51/22, 69/564 is 164220.

LCM(56/32, 30/36, 51/22, 69/564) = 164220

LCM of 56/32, 30/36, 51/22, 69/564

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 56/32,30/36,51/22,69/564

Given numbers are 56/32,30/36,51/22,69/564

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 56,30,51,69

Least Common Multiple of Numerators i.e. LCM of 56,30,51,69 is 328440.

GCF of Denominators means GCF of 32,36,22,564 as per the given fractions.

GCF of 32,36,22,564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,30,51,69

LCM of Fractions 56/32,30/36,51/22,69/564 is 164220

2 56, 30, 51, 69
3 28, 15, 51, 69
28, 5, 17, 23

∴ So the LCM of the given numbers is 2 x 3 x 28 x 5 x 17 x 23 = 328440

Least Common Multiple of 56,30,51,69 with GCF Formula

Least Common Multiple of 56,30,51,69 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 56,30,51,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,30,51,69) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(56,30,51,69) x common factors =1 x 18 = 18

LCM(56,30,51,69) = ( 56 × 30 × 51 × 69 ) / 18

LCM(56,30,51,69) = 5911920 / 18

LCM(56,30,51,69) = 328440


Lets's calculate GCF of 32,36,22,564

2 32, 36, 22, 564
16, 18, 11, 282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328440/2

Therefore the LCM of Fractions 56/32,30/36,51/22,69/564 is 164220

Greatest Common Factor of 32,36,22,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,36,22,564 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 32,36,22,564 . The biggest common factor number is the GCF number.
So the greatest common factor 32,36,22,564 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 56/32, 30/36, 51/22, 69/564

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 56/32, 30/36, 51/22, 69/564?

Answer: LCM of Numerators as per given numbers 56/32, 30/36, 51/22, 69/564 is

LCM of Numerators i.e. for 56,30,51,69 is 328440

GCF of denominators i.e. for 32,36,22,564 is 2.

Thus, LCM of Fractions is 164220.Finally, LCM of Fractions for 56/32, 30/36, 51/22, 69/564 is 164220.