Least Common Multiple of 34/992, 18/660, 516/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/992, 18/660, 516/231 quickly i.e. 26316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/992, 18/660, 516/231 is 26316.

LCM(34/992, 18/660, 516/231) = 26316

LCM of 34/992, 18/660, 516/231

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 34/992,18/660,516/231

Given numbers are 34/992,18/660,516/231

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 34,18,516

Least Common Multiple of Numerators i.e. LCM of 34,18,516 is 26316.

GCF of Denominators means GCF of 992,660,231 as per the given fractions.

GCF of 992,660,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,18,516

LCM of Fractions 34/992,18/660,516/231 is 26316

2 34, 18, 516
3 17, 9, 258
17, 3, 86

∴ So the LCM of the given numbers is 2 x 3 x 17 x 3 x 86 = 26316

Least Common Multiple of 34,18,516 with GCF Formula

Least Common Multiple of 34,18,516 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 34,18,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,18,516) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(34,18,516) x common factors =2 x 6 = 12

LCM(34,18,516) = ( 34 × 18 × 516 ) / 12

LCM(34,18,516) = 315792 / 12

LCM(34,18,516) = 26316


Lets's calculate GCF of 992,660,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26316/1

Therefore the LCM of Fractions 34/992,18/660,516/231 is 26316

Greatest Common Factor of 992,660,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,660,231 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 992,660,231 . The biggest common factor number is the GCF number.
So the greatest common factor 992,660,231 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 34/992, 18/660, 516/231

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 34/992, 18/660, 516/231?

Answer: LCM of Numerators as per given numbers 34/992, 18/660, 516/231 is

LCM of Numerators i.e. for 34,18,516 is 26316

GCF of denominators i.e. for 992,660,231 is 1.

Thus, LCM of Fractions is 26316.Finally, LCM of Fractions for 34/992, 18/660, 516/231 is 26316.