Least Common Multiple of 5/42, 9/56, 56/60, 23/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/42, 9/56, 56/60, 23/622 quickly i.e. 28980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/42, 9/56, 56/60, 23/622 is 28980.

LCM(5/42, 9/56, 56/60, 23/622) = 28980

LCM of 5/42, 9/56, 56/60, 23/622

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 5/42,9/56,56/60,23/622

Given numbers are 5/42,9/56,56/60,23/622

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 5,9,56,23

Least Common Multiple of Numerators i.e. LCM of 5,9,56,23 is 57960.

GCF of Denominators means GCF of 42,56,60,622 as per the given fractions.

GCF of 42,56,60,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,9,56,23

LCM of Fractions 5/42,9/56,56/60,23/622 is 28980

Given numbers has no common factors except 1. So, there LCM is their product i.e 57960

Least Common Multiple of 5,9,56,23 with GCF Formula

Least Common Multiple of 5,9,56,23 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 5,9,56,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,9,56,23) = 1

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

GCF(5,9,56,23) x common factors =1 x 1 = 1

LCM(5,9,56,23) = ( 5 × 9 × 56 × 23 ) / 1

LCM(5,9,56,23) = 57960 / 1

LCM(5,9,56,23) = 57960


Lets's calculate GCF of 42,56,60,622

2 42, 56, 60, 622
21, 28, 30, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57960/2

Therefore the LCM of Fractions 5/42,9/56,56/60,23/622 is 28980

Greatest Common Factor of 42,56,60,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,56,60,622 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 42,56,60,622 . The biggest common factor number is the GCF number.
So the greatest common factor 42,56,60,622 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 5/42, 9/56, 56/60, 23/622

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 5/42, 9/56, 56/60, 23/622?

Answer: LCM of Numerators as per given numbers 5/42, 9/56, 56/60, 23/622 is

LCM of Numerators i.e. for 5,9,56,23 is 57960

GCF of denominators i.e. for 42,56,60,622 is 2.

Thus, LCM of Fractions is 28980.Finally, LCM of Fractions for 5/42, 9/56, 56/60, 23/622 is 28980.