Least Common Multiple of 70/30, 75/18, 38/74, 96/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/30, 75/18, 38/74, 96/232 quickly i.e. 159600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/30, 75/18, 38/74, 96/232 is 159600.

LCM(70/30, 75/18, 38/74, 96/232) = 159600

LCM of 70/30, 75/18, 38/74, 96/232

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 70/30,75/18,38/74,96/232

Given numbers are 70/30,75/18,38/74,96/232

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 70,75,38,96

Least Common Multiple of Numerators i.e. LCM of 70,75,38,96 is 319200.

GCF of Denominators means GCF of 30,18,74,232 as per the given fractions.

GCF of 30,18,74,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,75,38,96

LCM of Fractions 70/30,75/18,38/74,96/232 is 159600

2 70, 75, 38, 96
3 35, 75, 19, 48
5 35, 25, 19, 16
7, 5, 19, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 5 x 19 x 16 = 319200

Least Common Multiple of 70,75,38,96 with GCF Formula

Least Common Multiple of 70,75,38,96 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 70,75,38,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,75,38,96) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(70,75,38,96) x common factors =1 x 60 = 60

LCM(70,75,38,96) = ( 70 × 75 × 38 × 96 ) / 60

LCM(70,75,38,96) = 19152000 / 60

LCM(70,75,38,96) = 319200


Lets's calculate GCF of 30,18,74,232

2 30, 18, 74, 232
15, 9, 37, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319200/2

Therefore the LCM of Fractions 70/30,75/18,38/74,96/232 is 159600

Greatest Common Factor of 30,18,74,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,18,74,232 By Matching Biggest Common Factor Method

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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 30,18,74,232 . The biggest common factor number is the GCF number.
So the greatest common factor 30,18,74,232 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 70/30, 75/18, 38/74, 96/232

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 70/30, 75/18, 38/74, 96/232?

Answer: LCM of Numerators as per given numbers 70/30, 75/18, 38/74, 96/232 is

LCM of Numerators i.e. for 70,75,38,96 is 319200

GCF of denominators i.e. for 30,18,74,232 is 2.

Thus, LCM of Fractions is 159600.Finally, LCM of Fractions for 70/30, 75/18, 38/74, 96/232 is 159600.