Least Common Multiple of 34/101, 824/513, 959/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/101, 824/513, 959/990 quickly i.e. 13433672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/101, 824/513, 959/990 is 13433672.

LCM(34/101, 824/513, 959/990) = 13433672

LCM of 34/101, 824/513, 959/990

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 34/101,824/513,959/990

Given numbers are 34/101,824/513,959/990

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 34,824,959

Least Common Multiple of Numerators i.e. LCM of 34,824,959 is 13433672.

GCF of Denominators means GCF of 101,513,990 as per the given fractions.

GCF of 101,513,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,824,959

LCM of Fractions 34/101,824/513,959/990 is 13433672

2 34, 824, 959
17, 412, 959

∴ So the LCM of the given numbers is 2 x 17 x 412 x 959 = 13433672

Least Common Multiple of 34,824,959 with GCF Formula

Least Common Multiple of 34,824,959 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 34,824,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,824,959) = 1

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

GCF(34,824,959) x common factors =1 x 2 = 2

LCM(34,824,959) = ( 34 × 824 × 959 ) / 2

LCM(34,824,959) = 26867344 / 2

LCM(34,824,959) = 13433672


Lets's calculate GCF of 101,513,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13433672/1

Therefore the LCM of Fractions 34/101,824/513,959/990 is 13433672

Greatest Common Factor of 101,513,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,513,990 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 101,513,990 . The biggest common factor number is the GCF number.
So the greatest common factor 101,513,990 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 34/101, 824/513, 959/990

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 34/101, 824/513, 959/990?

Answer: LCM of Numerators as per given numbers 34/101, 824/513, 959/990 is

LCM of Numerators i.e. for 34,824,959 is 13433672

GCF of denominators i.e. for 101,513,990 is 1.

Thus, LCM of Fractions is 13433672.Finally, LCM of Fractions for 34/101, 824/513, 959/990 is 13433672.