Least Common Multiple of 34/872, 39/835, 459/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/872, 39/835, 459/374 quickly i.e. 11934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/872, 39/835, 459/374 is 11934.

LCM(34/872, 39/835, 459/374) = 11934

LCM of 34/872, 39/835, 459/374

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 34/872,39/835,459/374

Given numbers are 34/872,39/835,459/374

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 34,39,459

Least Common Multiple of Numerators i.e. LCM of 34,39,459 is 11934.

GCF of Denominators means GCF of 872,835,374 as per the given fractions.

GCF of 872,835,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,39,459

LCM of Fractions 34/872,39/835,459/374 is 11934

3 34, 39, 459
17 34, 13, 153
2, 13, 9

∴ So the LCM of the given numbers is 3 x 17 x 2 x 13 x 9 = 11934

Least Common Multiple of 34,39,459 with GCF Formula

Least Common Multiple of 34,39,459 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 34,39,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,39,459) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(34,39,459) x common factors =1 x 51 = 51

LCM(34,39,459) = ( 34 × 39 × 459 ) / 51

LCM(34,39,459) = 608634 / 51

LCM(34,39,459) = 11934


Lets's calculate GCF of 872,835,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11934/1

Therefore the LCM of Fractions 34/872,39/835,459/374 is 11934

Greatest Common Factor of 872,835,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,835,374 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 872,835,374 . The biggest common factor number is the GCF number.
So the greatest common factor 872,835,374 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 34/872, 39/835, 459/374

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 34/872, 39/835, 459/374?

Answer: LCM of Numerators as per given numbers 34/872, 39/835, 459/374 is

LCM of Numerators i.e. for 34,39,459 is 11934

GCF of denominators i.e. for 872,835,374 is 1.

Thus, LCM of Fractions is 11934.Finally, LCM of Fractions for 34/872, 39/835, 459/374 is 11934.