Least Common Multiple of 56/20, 78/52, 22/16, 17/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/20, 78/52, 22/16, 17/174 quickly i.e. 204204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/20, 78/52, 22/16, 17/174 is 204204.

LCM(56/20, 78/52, 22/16, 17/174) = 204204

LCM of 56/20, 78/52, 22/16, 17/174

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 56/20,78/52,22/16,17/174

Given numbers are 56/20,78/52,22/16,17/174

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 56,78,22,17

Least Common Multiple of Numerators i.e. LCM of 56,78,22,17 is 408408.

GCF of Denominators means GCF of 20,52,16,174 as per the given fractions.

GCF of 20,52,16,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,78,22,17

LCM of Fractions 56/20,78/52,22/16,17/174 is 204204

2 56, 78, 22, 17
28, 39, 11, 17

∴ So the LCM of the given numbers is 2 x 28 x 39 x 11 x 17 = 408408

Least Common Multiple of 56,78,22,17 with GCF Formula

Least Common Multiple of 56,78,22,17 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 56,78,22,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,78,22,17) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,78,22,17) x common factors =1 x 4 = 4

LCM(56,78,22,17) = ( 56 × 78 × 22 × 17 ) / 4

LCM(56,78,22,17) = 1633632 / 4

LCM(56,78,22,17) = 408408


Lets's calculate GCF of 20,52,16,174

2 20, 52, 16, 174
10, 26, 8, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408408/2

Therefore the LCM of Fractions 56/20,78/52,22/16,17/174 is 204204

Greatest Common Factor of 20,52,16,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,52,16,174 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 20,52,16,174 . The biggest common factor number is the GCF number.
So the greatest common factor 20,52,16,174 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 56/20, 78/52, 22/16, 17/174

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 56/20, 78/52, 22/16, 17/174?

Answer: LCM of Numerators as per given numbers 56/20, 78/52, 22/16, 17/174 is

LCM of Numerators i.e. for 56,78,22,17 is 408408

GCF of denominators i.e. for 20,52,16,174 is 2.

Thus, LCM of Fractions is 204204.Finally, LCM of Fractions for 56/20, 78/52, 22/16, 17/174 is 204204.