Least Common Multiple of 861/314, 1575/8423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/314, 1575/8423 quickly i.e. 64575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/314, 1575/8423 is 64575.

LCM(861/314, 1575/8423) = 64575

LCM of 861/314, 1575/8423

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 861/314,1575/8423

Given numbers are 861/314,1575/8423

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 861,1575

Least Common Multiple of Numerators i.e. LCM of 861,1575 is 64575.

GCF of Denominators means GCF of 314,8423 as per the given fractions.

GCF of 314,8423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,1575

LCM of Fractions 861/314,1575/8423 is 64575

3 861, 1575
7 287, 525
41, 75

∴ So the LCM of the given numbers is 3 x 7 x 41 x 75 = 64575

Least Common Multiple of 861,1575 with GCF Formula

Least Common Multiple of 861,1575 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 861,1575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,1575) = 21

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

GCF(861,1575) x common factors =21 x 1 = 21

LCM(861,1575) = ( 861 × 1575 ) / 21

LCM(861,1575) = 1356075 / 21

LCM(861,1575) = 64575


Lets's calculate GCF of 314,8423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64575/1

Therefore the LCM of Fractions 861/314,1575/8423 is 64575

Greatest Common Factor of 314,8423 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,8423 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 8423

List of positive integer factors of 8423 that divides 8423 without a remainder.

1,8423

Greatest Common Factor

We found the factors 314,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 314,8423 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 861/314, 1575/8423

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 861/314, 1575/8423?

Answer: LCM of Numerators as per given numbers 861/314, 1575/8423 is

LCM of Numerators i.e. for 861,1575 is 64575

GCF of denominators i.e. for 314,8423 is 1.

Thus, LCM of Fractions is 64575.Finally, LCM of Fractions for 861/314, 1575/8423 is 64575.