Least Common Multiple of 32/823, 28/123, 313/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/823, 28/123, 313/584 quickly i.e. 70112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/823, 28/123, 313/584 is 70112.

LCM(32/823, 28/123, 313/584) = 70112

LCM of 32/823, 28/123, 313/584

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 32/823,28/123,313/584

Given numbers are 32/823,28/123,313/584

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 32,28,313

Least Common Multiple of Numerators i.e. LCM of 32,28,313 is 70112.

GCF of Denominators means GCF of 823,123,584 as per the given fractions.

GCF of 823,123,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,28,313

LCM of Fractions 32/823,28/123,313/584 is 70112

2 32, 28, 313
2 16, 14, 313
8, 7, 313

∴ So the LCM of the given numbers is 2 x 2 x 8 x 7 x 313 = 70112

Least Common Multiple of 32,28,313 with GCF Formula

Least Common Multiple of 32,28,313 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 32,28,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,28,313) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,28,313) x common factors =1 x 4 = 4

LCM(32,28,313) = ( 32 × 28 × 313 ) / 4

LCM(32,28,313) = 280448 / 4

LCM(32,28,313) = 70112


Lets's calculate GCF of 823,123,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70112/1

Therefore the LCM of Fractions 32/823,28/123,313/584 is 70112

Greatest Common Factor of 823,123,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,123,584 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 823,123,584 . The biggest common factor number is the GCF number.
So the greatest common factor 823,123,584 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 32/823, 28/123, 313/584

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 32/823, 28/123, 313/584?

Answer: LCM of Numerators as per given numbers 32/823, 28/123, 313/584 is

LCM of Numerators i.e. for 32,28,313 is 70112

GCF of denominators i.e. for 823,123,584 is 1.

Thus, LCM of Fractions is 70112.Finally, LCM of Fractions for 32/823, 28/123, 313/584 is 70112.