Least Common Multiple of 96/34, 59/78, 29/17, 19/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/34, 59/78, 29/17, 19/624 quickly i.e. 3120864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/34, 59/78, 29/17, 19/624 is 3120864.

LCM(96/34, 59/78, 29/17, 19/624) = 3120864

LCM of 96/34, 59/78, 29/17, 19/624

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 96/34,59/78,29/17,19/624

Given numbers are 96/34,59/78,29/17,19/624

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 96,59,29,19

Least Common Multiple of Numerators i.e. LCM of 96,59,29,19 is 3120864.

GCF of Denominators means GCF of 34,78,17,624 as per the given fractions.

GCF of 34,78,17,624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,59,29,19

LCM of Fractions 96/34,59/78,29/17,19/624 is 3120864

Given numbers has no common factors except 1. So, there LCM is their product i.e 3120864

Least Common Multiple of 96,59,29,19 with GCF Formula

Least Common Multiple of 96,59,29,19 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 96,59,29,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,59,29,19) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(96,59,29,19) x common factors =1 x 1 = 1

LCM(96,59,29,19) = ( 96 × 59 × 29 × 19 ) / 1

LCM(96,59,29,19) = 3120864 / 1

LCM(96,59,29,19) = 3120864


Lets's calculate GCF of 34,78,17,624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120864/1

Therefore the LCM of Fractions 96/34,59/78,29/17,19/624 is 3120864

Greatest Common Factor of 34,78,17,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,78,17,624 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 34,78,17,624 . The biggest common factor number is the GCF number.
So the greatest common factor 34,78,17,624 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 96/34, 59/78, 29/17, 19/624

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 96/34, 59/78, 29/17, 19/624?

Answer: LCM of Numerators as per given numbers 96/34, 59/78, 29/17, 19/624 is

LCM of Numerators i.e. for 96,59,29,19 is 3120864

GCF of denominators i.e. for 34,78,17,624 is 1.

Thus, LCM of Fractions is 3120864.Finally, LCM of Fractions for 96/34, 59/78, 29/17, 19/624 is 3120864.