Least Common Multiple of 39/462, 96/345, 661/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/462, 96/345, 661/338 quickly i.e. 824928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/462, 96/345, 661/338 is 824928.

LCM(39/462, 96/345, 661/338) = 824928

LCM of 39/462, 96/345, 661/338

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 39/462,96/345,661/338

Given numbers are 39/462,96/345,661/338

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 39,96,661

Least Common Multiple of Numerators i.e. LCM of 39,96,661 is 824928.

GCF of Denominators means GCF of 462,345,338 as per the given fractions.

GCF of 462,345,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,96,661

LCM of Fractions 39/462,96/345,661/338 is 824928

3 39, 96, 661
13, 32, 661

∴ So the LCM of the given numbers is 3 x 13 x 32 x 661 = 824928

Least Common Multiple of 39,96,661 with GCF Formula

Least Common Multiple of 39,96,661 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 39,96,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,96,661) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,96,661) x common factors =1 x 3 = 3

LCM(39,96,661) = ( 39 × 96 × 661 ) / 3

LCM(39,96,661) = 2474784 / 3

LCM(39,96,661) = 824928


Lets's calculate GCF of 462,345,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824928/1

Therefore the LCM of Fractions 39/462,96/345,661/338 is 824928

Greatest Common Factor of 462,345,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,345,338 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 462,345,338 . The biggest common factor number is the GCF number.
So the greatest common factor 462,345,338 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 39/462, 96/345, 661/338

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 39/462, 96/345, 661/338?

Answer: LCM of Numerators as per given numbers 39/462, 96/345, 661/338 is

LCM of Numerators i.e. for 39,96,661 is 824928

GCF of denominators i.e. for 462,345,338 is 1.

Thus, LCM of Fractions is 824928.Finally, LCM of Fractions for 39/462, 96/345, 661/338 is 824928.