Least Common Multiple of 72/42, 847/48, 487/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/42, 847/48, 487/452 quickly i.e. 14849604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/42, 847/48, 487/452 is 14849604.

LCM(72/42, 847/48, 487/452) = 14849604

LCM of 72/42, 847/48, 487/452

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 72/42,847/48,487/452

Given numbers are 72/42,847/48,487/452

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 72,847,487

Least Common Multiple of Numerators i.e. LCM of 72,847,487 is 29699208.

GCF of Denominators means GCF of 42,48,452 as per the given fractions.

GCF of 42,48,452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,847,487

LCM of Fractions 72/42,847/48,487/452 is 14849604

Given numbers has no common factors except 1. So, there LCM is their product i.e 29699208

Least Common Multiple of 72,847,487 with GCF Formula

Least Common Multiple of 72,847,487 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 72,847,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,847,487) = 1

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

GCF(72,847,487) x common factors =1 x 1 = 1

LCM(72,847,487) = ( 72 × 847 × 487 ) / 1

LCM(72,847,487) = 29699208 / 1

LCM(72,847,487) = 29699208


Lets's calculate GCF of 42,48,452

2 42, 48, 452
21, 24, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29699208/2

Therefore the LCM of Fractions 72/42,847/48,487/452 is 14849604

Greatest Common Factor of 42,48,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,48,452 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 42,48,452 . The biggest common factor number is the GCF number.
So the greatest common factor 42,48,452 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 72/42, 847/48, 487/452

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 72/42, 847/48, 487/452?

Answer: LCM of Numerators as per given numbers 72/42, 847/48, 487/452 is

LCM of Numerators i.e. for 72,847,487 is 29699208

GCF of denominators i.e. for 42,48,452 is 2.

Thus, LCM of Fractions is 14849604.Finally, LCM of Fractions for 72/42, 847/48, 487/452 is 14849604.