Least Common Multiple of 72/322, 548/930, 282/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/322, 548/930, 282/406 quickly i.e. 231804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/322, 548/930, 282/406 is 231804.

LCM(72/322, 548/930, 282/406) = 231804

LCM of 72/322, 548/930, 282/406

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 72/322,548/930,282/406

Given numbers are 72/322,548/930,282/406

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 72,548,282

Least Common Multiple of Numerators i.e. LCM of 72,548,282 is 463608.

GCF of Denominators means GCF of 322,930,406 as per the given fractions.

GCF of 322,930,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,548,282

LCM of Fractions 72/322,548/930,282/406 is 231804

2 72, 548, 282
2 36, 274, 141
3 18, 137, 141
6, 137, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 137 x 47 = 463608

Least Common Multiple of 72,548,282 with GCF Formula

Least Common Multiple of 72,548,282 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 72,548,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,548,282) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(72,548,282) x common factors =2 x 12 = 24

LCM(72,548,282) = ( 72 × 548 × 282 ) / 24

LCM(72,548,282) = 11126592 / 24

LCM(72,548,282) = 463608


Lets's calculate GCF of 322,930,406

2 322, 930, 406
161, 465, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463608/2

Therefore the LCM of Fractions 72/322,548/930,282/406 is 231804

Greatest Common Factor of 322,930,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,930,406 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

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

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 322,930,406 . The biggest common factor number is the GCF number.
So the greatest common factor 322,930,406 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 72/322, 548/930, 282/406

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 72/322, 548/930, 282/406?

Answer: LCM of Numerators as per given numbers 72/322, 548/930, 282/406 is

LCM of Numerators i.e. for 72,548,282 is 463608

GCF of denominators i.e. for 322,930,406 is 2.

Thus, LCM of Fractions is 231804.Finally, LCM of Fractions for 72/322, 548/930, 282/406 is 231804.