Least Common Multiple of 195/23, 712/3070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/23, 712/3070 quickly i.e. 138840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/23, 712/3070 is 138840.

LCM(195/23, 712/3070) = 138840

LCM of 195/23, 712/3070

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 195/23,712/3070

Given numbers are 195/23,712/3070

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 195,712

Least Common Multiple of Numerators i.e. LCM of 195,712 is 138840.

GCF of Denominators means GCF of 23,3070 as per the given fractions.

GCF of 23,3070 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,712

LCM of Fractions 195/23,712/3070 is 138840

Given numbers has no common factors except 1. So, there LCM is their product i.e 138840

Least Common Multiple of 195,712 with GCF Formula

Least Common Multiple of 195,712 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 195,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,712) = 1

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

GCF(195,712) x common factors =1 x 1 = 1

LCM(195,712) = ( 195 × 712 ) / 1

LCM(195,712) = 138840 / 1

LCM(195,712) = 138840


Lets's calculate GCF of 23,3070

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138840/1

Therefore the LCM of Fractions 195/23,712/3070 is 138840

Greatest Common Factor of 23,3070 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,3070 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 3070

List of positive integer factors of 3070 that divides 3070 without a remainder.

1,2,5,10,307,614,1535,3070

Greatest Common Factor

We found the factors 23,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 23,3070 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 195/23, 712/3070

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 195/23, 712/3070?

Answer: LCM of Numerators as per given numbers 195/23, 712/3070 is

LCM of Numerators i.e. for 195,712 is 138840

GCF of denominators i.e. for 23,3070 is 1.

Thus, LCM of Fractions is 138840.Finally, LCM of Fractions for 195/23, 712/3070 is 138840.