Least Common Multiple of 35/84, 263/19, 309/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/84, 263/19, 309/432 quickly i.e. 2844345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/84, 263/19, 309/432 is 2844345.

LCM(35/84, 263/19, 309/432) = 2844345

LCM of 35/84, 263/19, 309/432

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 35/84,263/19,309/432

Given numbers are 35/84,263/19,309/432

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 35,263,309

Least Common Multiple of Numerators i.e. LCM of 35,263,309 is 2844345.

GCF of Denominators means GCF of 84,19,432 as per the given fractions.

GCF of 84,19,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,263,309

LCM of Fractions 35/84,263/19,309/432 is 2844345

Given numbers has no common factors except 1. So, there LCM is their product i.e 2844345

Least Common Multiple of 35,263,309 with GCF Formula

Least Common Multiple of 35,263,309 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 35,263,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,263,309) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(35,263,309) x common factors =1 x 1 = 1

LCM(35,263,309) = ( 35 × 263 × 309 ) / 1

LCM(35,263,309) = 2844345 / 1

LCM(35,263,309) = 2844345


Lets's calculate GCF of 84,19,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2844345/1

Therefore the LCM of Fractions 35/84,263/19,309/432 is 2844345

Greatest Common Factor of 84,19,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,19,432 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 84,19,432 . The biggest common factor number is the GCF number.
So the greatest common factor 84,19,432 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 35/84, 263/19, 309/432

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 35/84, 263/19, 309/432?

Answer: LCM of Numerators as per given numbers 35/84, 263/19, 309/432 is

LCM of Numerators i.e. for 35,263,309 is 2844345

GCF of denominators i.e. for 84,19,432 is 1.

Thus, LCM of Fractions is 2844345.Finally, LCM of Fractions for 35/84, 263/19, 309/432 is 2844345.