Least Common Multiple of 96/146, 120/704, 593/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/146, 120/704, 593/114 quickly i.e. 142320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/146, 120/704, 593/114 is 142320.

LCM(96/146, 120/704, 593/114) = 142320

LCM of 96/146, 120/704, 593/114

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 96/146,120/704,593/114

Given numbers are 96/146,120/704,593/114

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 96,120,593

Least Common Multiple of Numerators i.e. LCM of 96,120,593 is 284640.

GCF of Denominators means GCF of 146,704,114 as per the given fractions.

GCF of 146,704,114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,120,593

LCM of Fractions 96/146,120/704,593/114 is 142320

2 96, 120, 593
2 48, 60, 593
2 24, 30, 593
3 12, 15, 593
4, 5, 593

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 5 x 593 = 284640

Least Common Multiple of 96,120,593 with GCF Formula

Least Common Multiple of 96,120,593 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 96,120,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,120,593) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,120,593) x common factors =1 x 24 = 24

LCM(96,120,593) = ( 96 × 120 × 593 ) / 24

LCM(96,120,593) = 6831360 / 24

LCM(96,120,593) = 284640


Lets's calculate GCF of 146,704,114

2 146, 704, 114
73, 352, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284640/2

Therefore the LCM of Fractions 96/146,120/704,593/114 is 142320

Greatest Common Factor of 146,704,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,704,114 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 146,704,114 . The biggest common factor number is the GCF number.
So the greatest common factor 146,704,114 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 96/146, 120/704, 593/114

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 96/146, 120/704, 593/114?

Answer: LCM of Numerators as per given numbers 96/146, 120/704, 593/114 is

LCM of Numerators i.e. for 96,120,593 is 284640

GCF of denominators i.e. for 146,704,114 is 2.

Thus, LCM of Fractions is 142320.Finally, LCM of Fractions for 96/146, 120/704, 593/114 is 142320.