Least Common Multiple of 643/384, 604/376, 926/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/384, 604/376, 926/470 quickly i.e. 89908118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/384, 604/376, 926/470 is 89908118.

LCM(643/384, 604/376, 926/470) = 89908118

LCM of 643/384, 604/376, 926/470

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 643/384,604/376,926/470

Given numbers are 643/384,604/376,926/470

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 643,604,926

Least Common Multiple of Numerators i.e. LCM of 643,604,926 is 179816236.

GCF of Denominators means GCF of 384,376,470 as per the given fractions.

GCF of 384,376,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,604,926

LCM of Fractions 643/384,604/376,926/470 is 89908118

2 643, 604, 926
643, 302, 463

∴ So the LCM of the given numbers is 2 x 643 x 302 x 463 = 179816236

Least Common Multiple of 643,604,926 with GCF Formula

Least Common Multiple of 643,604,926 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 643,604,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,604,926) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(643,604,926) x common factors =1 x 2 = 2

LCM(643,604,926) = ( 643 × 604 × 926 ) / 2

LCM(643,604,926) = 359632472 / 2

LCM(643,604,926) = 179816236


Lets's calculate GCF of 384,376,470

2 384, 376, 470
192, 188, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179816236/2

Therefore the LCM of Fractions 643/384,604/376,926/470 is 89908118

Greatest Common Factor of 384,376,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,376,470 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 384,376,470 . The biggest common factor number is the GCF number.
So the greatest common factor 384,376,470 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 643/384, 604/376, 926/470

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 643/384, 604/376, 926/470?

Answer: LCM of Numerators as per given numbers 643/384, 604/376, 926/470 is

LCM of Numerators i.e. for 643,604,926 is 179816236

GCF of denominators i.e. for 384,376,470 is 2.

Thus, LCM of Fractions is 89908118.Finally, LCM of Fractions for 643/384, 604/376, 926/470 is 89908118.