Least Common Multiple of 19/34, 25/30, 36/52, 68/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/34, 25/30, 36/52, 68/904 quickly i.e. 145350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/34, 25/30, 36/52, 68/904 is 145350.

LCM(19/34, 25/30, 36/52, 68/904) = 145350

LCM of 19/34, 25/30, 36/52, 68/904

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 19/34,25/30,36/52,68/904

Given numbers are 19/34,25/30,36/52,68/904

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 19,25,36,68

Least Common Multiple of Numerators i.e. LCM of 19,25,36,68 is 290700.

GCF of Denominators means GCF of 34,30,52,904 as per the given fractions.

GCF of 34,30,52,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,25,36,68

LCM of Fractions 19/34,25/30,36/52,68/904 is 145350

2 19, 25, 36, 68
2 19, 25, 18, 34
19, 25, 9, 17

∴ So the LCM of the given numbers is 2 x 2 x 19 x 25 x 9 x 17 = 290700

Least Common Multiple of 19,25,36,68 with GCF Formula

Least Common Multiple of 19,25,36,68 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 19,25,36,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,25,36,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,25,36,68) x common factors =1 x 4 = 4

LCM(19,25,36,68) = ( 19 × 25 × 36 × 68 ) / 4

LCM(19,25,36,68) = 1162800 / 4

LCM(19,25,36,68) = 290700


Lets's calculate GCF of 34,30,52,904

2 34, 30, 52, 904
17, 15, 26, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290700/2

Therefore the LCM of Fractions 19/34,25/30,36/52,68/904 is 145350

Greatest Common Factor of 34,30,52,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,30,52,904 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 52

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

1,2,4,13,26,52

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 34,30,52,904 . The biggest common factor number is the GCF number.
So the greatest common factor 34,30,52,904 is 2.


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 19/34, 25/30, 36/52, 68/904

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 19/34, 25/30, 36/52, 68/904?

Answer: LCM of Numerators as per given numbers 19/34, 25/30, 36/52, 68/904 is

LCM of Numerators i.e. for 19,25,36,68 is 290700

GCF of denominators i.e. for 34,30,52,904 is 2.

Thus, LCM of Fractions is 145350.Finally, LCM of Fractions for 19/34, 25/30, 36/52, 68/904 is 145350.