Least Common Multiple of 16/72, 60/74, 600/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/72, 60/74, 600/572 quickly i.e. 600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/72, 60/74, 600/572 is 600.

LCM(16/72, 60/74, 600/572) = 600

LCM of 16/72, 60/74, 600/572

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 16/72,60/74,600/572

Given numbers are 16/72,60/74,600/572

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 16,60,600

Least Common Multiple of Numerators i.e. LCM of 16,60,600 is 1200.

GCF of Denominators means GCF of 72,74,572 as per the given fractions.

GCF of 72,74,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,60,600

LCM of Fractions 16/72,60/74,600/572 is 600

2 16, 60, 600
2 8, 30, 300
2 4, 15, 150
3 2, 15, 75
5 2, 5, 25
2, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 2 x 1 x 5 = 1200

Least Common Multiple of 16,60,600 with GCF Formula

Least Common Multiple of 16,60,600 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 16,60,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,60,600) = 4

common factors(in case of two or more numbers have common factors) = 120

GCF(16,60,600) x common factors =4 x 120 = 480

LCM(16,60,600) = ( 16 × 60 × 600 ) / 480

LCM(16,60,600) = 576000 / 480

LCM(16,60,600) = 1200


Lets's calculate GCF of 72,74,572

2 72, 74, 572
36, 37, 286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200/2

Therefore the LCM of Fractions 16/72,60/74,600/572 is 600

Greatest Common Factor of 72,74,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,74,572 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 72,74,572 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,572 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 16/72, 60/74, 600/572

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 16/72, 60/74, 600/572?

Answer: LCM of Numerators as per given numbers 16/72, 60/74, 600/572 is

LCM of Numerators i.e. for 16,60,600 is 1200

GCF of denominators i.e. for 72,74,572 is 2.

Thus, LCM of Fractions is 600.Finally, LCM of Fractions for 16/72, 60/74, 600/572 is 600.