Least Common Multiple of 72/753, 36/942, 706/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/753, 36/942, 706/482 quickly i.e. 25416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/753, 36/942, 706/482 is 25416.

LCM(72/753, 36/942, 706/482) = 25416

LCM of 72/753, 36/942, 706/482

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 72/753,36/942,706/482

Given numbers are 72/753,36/942,706/482

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 72,36,706

Least Common Multiple of Numerators i.e. LCM of 72,36,706 is 25416.

GCF of Denominators means GCF of 753,942,482 as per the given fractions.

GCF of 753,942,482 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,36,706

LCM of Fractions 72/753,36/942,706/482 is 25416

2 72, 36, 706
2 36, 18, 353
3 9, 18, 353
3 3, 6, 353
1, 2, 353

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 2 x 353 = 25416

Least Common Multiple of 72,36,706 with GCF Formula

Least Common Multiple of 72,36,706 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 72,36,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,36,706) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(72,36,706) x common factors =2 x 36 = 72

LCM(72,36,706) = ( 72 × 36 × 706 ) / 72

LCM(72,36,706) = 1829952 / 72

LCM(72,36,706) = 25416


Lets's calculate GCF of 753,942,482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25416/1

Therefore the LCM of Fractions 72/753,36/942,706/482 is 25416

Greatest Common Factor of 753,942,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,942,482 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 753,942,482 . The biggest common factor number is the GCF number.
So the greatest common factor 753,942,482 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 72/753, 36/942, 706/482

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 72/753, 36/942, 706/482?

Answer: LCM of Numerators as per given numbers 72/753, 36/942, 706/482 is

LCM of Numerators i.e. for 72,36,706 is 25416

GCF of denominators i.e. for 753,942,482 is 1.

Thus, LCM of Fractions is 25416.Finally, LCM of Fractions for 72/753, 36/942, 706/482 is 25416.