Least Common Multiple of 1470/15, 9971/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1470/15, 9971/136 quickly i.e. 14657370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1470/15, 9971/136 is 14657370.

LCM(1470/15, 9971/136) = 14657370

LCM of 1470/15, 9971/136

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 1470/15,9971/136

Given numbers are 1470/15,9971/136

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 1470,9971

Least Common Multiple of Numerators i.e. LCM of 1470,9971 is 14657370.

GCF of Denominators means GCF of 15,136 as per the given fractions.

GCF of 15,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1470,9971

LCM of Fractions 1470/15,9971/136 is 14657370

Given numbers has no common factors except 1. So, there LCM is their product i.e 14657370

Least Common Multiple of 1470,9971 with GCF Formula

Least Common Multiple of 1470,9971 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 1470,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1470,9971) = 1

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

GCF(1470,9971) x common factors =1 x 1 = 1

LCM(1470,9971) = ( 1470 × 9971 ) / 1

LCM(1470,9971) = 14657370 / 1

LCM(1470,9971) = 14657370


Lets's calculate GCF of 15,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14657370/1

Therefore the LCM of Fractions 1470/15,9971/136 is 14657370

Greatest Common Factor of 15,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,136 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 15,136 . The biggest common factor number is the GCF number.
So the greatest common factor 15,136 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 1470/15, 9971/136

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 1470/15, 9971/136?

Answer: LCM of Numerators as per given numbers 1470/15, 9971/136 is

LCM of Numerators i.e. for 1470,9971 is 14657370

GCF of denominators i.e. for 15,136 is 1.

Thus, LCM of Fractions is 14657370.Finally, LCM of Fractions for 1470/15, 9971/136 is 14657370.