Least Common Multiple of 432/24, 387/26, 427/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/24, 387/26, 427/620 quickly i.e. 3965976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/24, 387/26, 427/620 is 3965976.

LCM(432/24, 387/26, 427/620) = 3965976

LCM of 432/24, 387/26, 427/620

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 432/24,387/26,427/620

Given numbers are 432/24,387/26,427/620

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 432,387,427

Least Common Multiple of Numerators i.e. LCM of 432,387,427 is 7931952.

GCF of Denominators means GCF of 24,26,620 as per the given fractions.

GCF of 24,26,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,387,427

LCM of Fractions 432/24,387/26,427/620 is 3965976

3 432, 387, 427
3 144, 129, 427
48, 43, 427

∴ So the LCM of the given numbers is 3 x 3 x 48 x 43 x 427 = 7931952

Least Common Multiple of 432,387,427 with GCF Formula

Least Common Multiple of 432,387,427 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 432,387,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,387,427) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(432,387,427) x common factors =1 x 9 = 9

LCM(432,387,427) = ( 432 × 387 × 427 ) / 9

LCM(432,387,427) = 71387568 / 9

LCM(432,387,427) = 7931952


Lets's calculate GCF of 24,26,620

2 24, 26, 620
12, 13, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7931952/2

Therefore the LCM of Fractions 432/24,387/26,427/620 is 3965976

Greatest Common Factor of 24,26,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,26,620 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 24,26,620 . The biggest common factor number is the GCF number.
So the greatest common factor 24,26,620 is 2.


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 432/24, 387/26, 427/620

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 432/24, 387/26, 427/620?

Answer: LCM of Numerators as per given numbers 432/24, 387/26, 427/620 is

LCM of Numerators i.e. for 432,387,427 is 7931952

GCF of denominators i.e. for 24,26,620 is 2.

Thus, LCM of Fractions is 3965976.Finally, LCM of Fractions for 432/24, 387/26, 427/620 is 3965976.