Least Common Multiple of 395/359, 399/984, 624/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/359, 399/984, 624/768 quickly i.e. 32781840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/359, 399/984, 624/768 is 32781840.

LCM(395/359, 399/984, 624/768) = 32781840

LCM of 395/359, 399/984, 624/768

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 395/359,399/984,624/768

Given numbers are 395/359,399/984,624/768

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 395,399,624

Least Common Multiple of Numerators i.e. LCM of 395,399,624 is 32781840.

GCF of Denominators means GCF of 359,984,768 as per the given fractions.

GCF of 359,984,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,399,624

LCM of Fractions 395/359,399/984,624/768 is 32781840

3 395, 399, 624
395, 133, 208

∴ So the LCM of the given numbers is 3 x 395 x 133 x 208 = 32781840

Least Common Multiple of 395,399,624 with GCF Formula

Least Common Multiple of 395,399,624 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 395,399,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,399,624) = 1

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

GCF(395,399,624) x common factors =1 x 3 = 3

LCM(395,399,624) = ( 395 × 399 × 624 ) / 3

LCM(395,399,624) = 98345520 / 3

LCM(395,399,624) = 32781840


Lets's calculate GCF of 359,984,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32781840/1

Therefore the LCM of Fractions 395/359,399/984,624/768 is 32781840

Greatest Common Factor of 359,984,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,984,768 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 359,984,768 . The biggest common factor number is the GCF number.
So the greatest common factor 359,984,768 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 395/359, 399/984, 624/768

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 395/359, 399/984, 624/768?

Answer: LCM of Numerators as per given numbers 395/359, 399/984, 624/768 is

LCM of Numerators i.e. for 395,399,624 is 32781840

GCF of denominators i.e. for 359,984,768 is 1.

Thus, LCM of Fractions is 32781840.Finally, LCM of Fractions for 395/359, 399/984, 624/768 is 32781840.