Least Common Multiple of 1/72, 9/19, 21/46, 74/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/72, 9/19, 21/46, 74/400 quickly i.e. 4662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/72, 9/19, 21/46, 74/400 is 4662.

LCM(1/72, 9/19, 21/46, 74/400) = 4662

LCM of 1/72, 9/19, 21/46, 74/400

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 1/72,9/19,21/46,74/400

Given numbers are 1/72,9/19,21/46,74/400

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 1,9,21,74

Least Common Multiple of Numerators i.e. LCM of 1,9,21,74 is 4662.

GCF of Denominators means GCF of 72,19,46,400 as per the given fractions.

GCF of 72,19,46,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,9,21,74

LCM of Fractions 1/72,9/19,21/46,74/400 is 4662

3 1, 9, 21, 74
1, 3, 7, 74

∴ So the LCM of the given numbers is 3 x 1 x 3 x 7 x 74 = 4662

Least Common Multiple of 1,9,21,74 with GCF Formula

Least Common Multiple of 1,9,21,74 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 1,9,21,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,9,21,74) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(1,9,21,74) x common factors =1 x 3 = 3

LCM(1,9,21,74) = ( 1 × 9 × 21 × 74 ) / 3

LCM(1,9,21,74) = 13986 / 3

LCM(1,9,21,74) = 4662


Lets's calculate GCF of 72,19,46,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4662/1

Therefore the LCM of Fractions 1/72,9/19,21/46,74/400 is 4662

Greatest Common Factor of 72,19,46,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,19,46,400 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 72,19,46,400 . The biggest common factor number is the GCF number.
So the greatest common factor 72,19,46,400 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 1/72, 9/19, 21/46, 74/400

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 1/72, 9/19, 21/46, 74/400?

Answer: LCM of Numerators as per given numbers 1/72, 9/19, 21/46, 74/400 is

LCM of Numerators i.e. for 1,9,21,74 is 4662

GCF of denominators i.e. for 72,19,46,400 is 1.

Thus, LCM of Fractions is 4662.Finally, LCM of Fractions for 1/72, 9/19, 21/46, 74/400 is 4662.