Least Common Multiple of 4/20, 9/42, 10/27, 50/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/20, 9/42, 10/27, 50/930 quickly i.e. 900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/20, 9/42, 10/27, 50/930 is 900.

LCM(4/20, 9/42, 10/27, 50/930) = 900

LCM of 4/20, 9/42, 10/27, 50/930

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 4/20,9/42,10/27,50/930

Given numbers are 4/20,9/42,10/27,50/930

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 4,9,10,50

Least Common Multiple of Numerators i.e. LCM of 4,9,10,50 is 900.

GCF of Denominators means GCF of 20,42,27,930 as per the given fractions.

GCF of 20,42,27,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,9,10,50

LCM of Fractions 4/20,9/42,10/27,50/930 is 900

2 4, 9, 10, 50
5 2, 9, 5, 25
2, 9, 1, 5

∴ So the LCM of the given numbers is 2 x 5 x 2 x 9 x 1 x 5 = 900

Least Common Multiple of 4,9,10,50 with GCF Formula

Least Common Multiple of 4,9,10,50 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 4,9,10,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,9,10,50) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(4,9,10,50) x common factors =1 x 20 = 20

LCM(4,9,10,50) = ( 4 × 9 × 10 × 50 ) / 20

LCM(4,9,10,50) = 18000 / 20

LCM(4,9,10,50) = 900


Lets's calculate GCF of 20,42,27,930

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900/1

Therefore the LCM of Fractions 4/20,9/42,10/27,50/930 is 900

Greatest Common Factor of 20,42,27,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,42,27,930 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 42

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

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

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 20,42,27,930 . The biggest common factor number is the GCF number.
So the greatest common factor 20,42,27,930 is 1.


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 4/20, 9/42, 10/27, 50/930

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 4/20, 9/42, 10/27, 50/930?

Answer: LCM of Numerators as per given numbers 4/20, 9/42, 10/27, 50/930 is

LCM of Numerators i.e. for 4,9,10,50 is 900

GCF of denominators i.e. for 20,42,27,930 is 1.

Thus, LCM of Fractions is 900.Finally, LCM of Fractions for 4/20, 9/42, 10/27, 50/930 is 900.