Least Common Multiple of 34/96, 413/52, 338/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/96, 413/52, 338/600 quickly i.e. 2373098/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/96, 413/52, 338/600 is 2373098/4.

LCM(34/96, 413/52, 338/600) = 2373098/4

LCM of 34/96, 413/52, 338/600

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 34/96,413/52,338/600

Given numbers are 34/96,413/52,338/600

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 34,413,338

Least Common Multiple of Numerators i.e. LCM of 34,413,338 is 2373098.

GCF of Denominators means GCF of 96,52,600 as per the given fractions.

GCF of 96,52,600 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,413,338

LCM of Fractions 34/96,413/52,338/600 is 2373098/4

2 34, 413, 338
17, 413, 169

∴ So the LCM of the given numbers is 2 x 17 x 413 x 169 = 2373098

Least Common Multiple of 34,413,338 with GCF Formula

Least Common Multiple of 34,413,338 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 34,413,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,413,338) = 1

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

GCF(34,413,338) x common factors =1 x 2 = 2

LCM(34,413,338) = ( 34 × 413 × 338 ) / 2

LCM(34,413,338) = 4746196 / 2

LCM(34,413,338) = 2373098


Lets's calculate GCF of 96,52,600

2 96, 52, 600
2 48, 26, 300
24, 13, 150

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2373098/4

Therefore the LCM of Fractions 34/96,413/52,338/600 is 2373098/4

Greatest Common Factor of 96,52,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,52,600 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 96,52,600 . The biggest common factor number is the GCF number.
So the greatest common factor 96,52,600 is 4.


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 34/96, 413/52, 338/600

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 34/96, 413/52, 338/600?

Answer: LCM of Numerators as per given numbers 34/96, 413/52, 338/600 is

LCM of Numerators i.e. for 34,413,338 is 2373098

GCF of denominators i.e. for 96,52,600 is 4.

Thus, LCM of Fractions is 2373098/4.Finally, LCM of Fractions for 34/96, 413/52, 338/600 is 2373098/4.