Least Common Multiple of 70/23, 39/38, 85/12, 30/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/23, 39/38, 85/12, 30/142 quickly i.e. 46410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/23, 39/38, 85/12, 30/142 is 46410.

LCM(70/23, 39/38, 85/12, 30/142) = 46410

LCM of 70/23, 39/38, 85/12, 30/142

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 70/23,39/38,85/12,30/142

Given numbers are 70/23,39/38,85/12,30/142

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 70,39,85,30

Least Common Multiple of Numerators i.e. LCM of 70,39,85,30 is 46410.

GCF of Denominators means GCF of 23,38,12,142 as per the given fractions.

GCF of 23,38,12,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,39,85,30

LCM of Fractions 70/23,39/38,85/12,30/142 is 46410

2 70, 39, 85, 30
3 35, 39, 85, 15
5 35, 13, 85, 5
7, 13, 17, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 13 x 17 x 1 = 46410

Least Common Multiple of 70,39,85,30 with GCF Formula

Least Common Multiple of 70,39,85,30 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 70,39,85,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,39,85,30) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(70,39,85,30) x common factors =1 x 150 = 150

LCM(70,39,85,30) = ( 70 × 39 × 85 × 30 ) / 150

LCM(70,39,85,30) = 6961500 / 150

LCM(70,39,85,30) = 46410


Lets's calculate GCF of 23,38,12,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46410/1

Therefore the LCM of Fractions 70/23,39/38,85/12,30/142 is 46410

Greatest Common Factor of 23,38,12,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,38,12,142 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 23,38,12,142 . The biggest common factor number is the GCF number.
So the greatest common factor 23,38,12,142 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 70/23, 39/38, 85/12, 30/142

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 70/23, 39/38, 85/12, 30/142?

Answer: LCM of Numerators as per given numbers 70/23, 39/38, 85/12, 30/142 is

LCM of Numerators i.e. for 70,39,85,30 is 46410

GCF of denominators i.e. for 23,38,12,142 is 1.

Thus, LCM of Fractions is 46410.Finally, LCM of Fractions for 70/23, 39/38, 85/12, 30/142 is 46410.