Least Common Multiple of 32/857, 9835/7372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/857, 9835/7372 quickly i.e. 314720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/857, 9835/7372 is 314720.

LCM(32/857, 9835/7372) = 314720

LCM of 32/857, 9835/7372

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 32/857,9835/7372

Given numbers are 32/857,9835/7372

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 32,9835

Least Common Multiple of Numerators i.e. LCM of 32,9835 is 314720.

GCF of Denominators means GCF of 857,7372 as per the given fractions.

GCF of 857,7372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,9835

LCM of Fractions 32/857,9835/7372 is 314720

Given numbers has no common factors except 1. So, there LCM is their product i.e 314720

Least Common Multiple of 32,9835 with GCF Formula

Least Common Multiple of 32,9835 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 32,9835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,9835) = 1

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

GCF(32,9835) x common factors =1 x 1 = 1

LCM(32,9835) = ( 32 × 9835 ) / 1

LCM(32,9835) = 314720 / 1

LCM(32,9835) = 314720


Lets's calculate GCF of 857,7372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314720/1

Therefore the LCM of Fractions 32/857,9835/7372 is 314720

Greatest Common Factor of 857,7372 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,7372 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1,2,4,19,38,76,97,194,388,1843,3686,7372

Greatest Common Factor

We found the factors 857,7372 . The biggest common factor number is the GCF number.
So the greatest common factor 857,7372 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 32/857, 9835/7372

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 32/857, 9835/7372?

Answer: LCM of Numerators as per given numbers 32/857, 9835/7372 is

LCM of Numerators i.e. for 32,9835 is 314720

GCF of denominators i.e. for 857,7372 is 1.

Thus, LCM of Fractions is 314720.Finally, LCM of Fractions for 32/857, 9835/7372 is 314720.