Least Common Multiple of 39/552, 12/536, 362/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/552, 12/536, 362/999 quickly i.e. 28236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/552, 12/536, 362/999 is 28236.

LCM(39/552, 12/536, 362/999) = 28236

LCM of 39/552, 12/536, 362/999

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 39/552,12/536,362/999

Given numbers are 39/552,12/536,362/999

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 39,12,362

Least Common Multiple of Numerators i.e. LCM of 39,12,362 is 28236.

GCF of Denominators means GCF of 552,536,999 as per the given fractions.

GCF of 552,536,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,12,362

LCM of Fractions 39/552,12/536,362/999 is 28236

2 39, 12, 362
3 39, 6, 181
13, 2, 181

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 181 = 28236

Least Common Multiple of 39,12,362 with GCF Formula

Least Common Multiple of 39,12,362 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 39,12,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,12,362) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(39,12,362) x common factors =1 x 6 = 6

LCM(39,12,362) = ( 39 × 12 × 362 ) / 6

LCM(39,12,362) = 169416 / 6

LCM(39,12,362) = 28236


Lets's calculate GCF of 552,536,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28236/1

Therefore the LCM of Fractions 39/552,12/536,362/999 is 28236

Greatest Common Factor of 552,536,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,536,999 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 552,536,999 . The biggest common factor number is the GCF number.
So the greatest common factor 552,536,999 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 39/552, 12/536, 362/999

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 39/552, 12/536, 362/999?

Answer: LCM of Numerators as per given numbers 39/552, 12/536, 362/999 is

LCM of Numerators i.e. for 39,12,362 is 28236

GCF of denominators i.e. for 552,536,999 is 1.

Thus, LCM of Fractions is 28236.Finally, LCM of Fractions for 39/552, 12/536, 362/999 is 28236.