Least Common Multiple of 28/72, 882/36, 823/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/72, 882/36, 823/604 quickly i.e. 362943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/72, 882/36, 823/604 is 362943.

LCM(28/72, 882/36, 823/604) = 362943

LCM of 28/72, 882/36, 823/604

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 28/72,882/36,823/604

Given numbers are 28/72,882/36,823/604

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 28,882,823

Least Common Multiple of Numerators i.e. LCM of 28,882,823 is 1451772.

GCF of Denominators means GCF of 72,36,604 as per the given fractions.

GCF of 72,36,604 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,882,823

LCM of Fractions 28/72,882/36,823/604 is 362943

2 28, 882, 823
7 14, 441, 823
2, 63, 823

∴ So the LCM of the given numbers is 2 x 7 x 2 x 63 x 823 = 1451772

Least Common Multiple of 28,882,823 with GCF Formula

Least Common Multiple of 28,882,823 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 28,882,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,882,823) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(28,882,823) x common factors =1 x 14 = 14

LCM(28,882,823) = ( 28 × 882 × 823 ) / 14

LCM(28,882,823) = 20324808 / 14

LCM(28,882,823) = 1451772


Lets's calculate GCF of 72,36,604

2 72, 36, 604
2 36, 18, 302
9, 18, 151

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1451772/4

Therefore the LCM of Fractions 28/72,882/36,823/604 is 362943

Greatest Common Factor of 72,36,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,36,604 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 72,36,604 . The biggest common factor number is the GCF number.
So the greatest common factor 72,36,604 is 4.


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 28/72, 882/36, 823/604

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 28/72, 882/36, 823/604?

Answer: LCM of Numerators as per given numbers 28/72, 882/36, 823/604 is

LCM of Numerators i.e. for 28,882,823 is 1451772

GCF of denominators i.e. for 72,36,604 is 4.

Thus, LCM of Fractions is 362943.Finally, LCM of Fractions for 28/72, 882/36, 823/604 is 362943.