Least Common Multiple of 390/46, 867/5750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/46, 867/5750 quickly i.e. 112710/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/46, 867/5750 is 112710/46.

LCM(390/46, 867/5750) = 112710/46

LCM of 390/46, 867/5750

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 390/46,867/5750

Given numbers are 390/46,867/5750

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 390,867

Least Common Multiple of Numerators i.e. LCM of 390,867 is 112710.

GCF of Denominators means GCF of 46,5750 as per the given fractions.

GCF of 46,5750 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,867

LCM of Fractions 390/46,867/5750 is 112710/46

3 390, 867
130, 289

∴ So the LCM of the given numbers is 3 x 130 x 289 = 112710

Least Common Multiple of 390,867 with GCF Formula

Least Common Multiple of 390,867 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 390,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,867) = 3

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

GCF(390,867) x common factors =3 x 1 = 3

LCM(390,867) = ( 390 × 867 ) / 3

LCM(390,867) = 338130 / 3

LCM(390,867) = 112710


Lets's calculate GCF of 46,5750

2 46, 5750
23 23, 2875
1, 125

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112710/46

Therefore the LCM of Fractions 390/46,867/5750 is 112710/46

Greatest Common Factor of 46,5750 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,5750 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Greatest Common Factor

We found the factors 46,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 46,5750 is 46.


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 390/46, 867/5750

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 390/46, 867/5750?

Answer: LCM of Numerators as per given numbers 390/46, 867/5750 is

LCM of Numerators i.e. for 390,867 is 112710

GCF of denominators i.e. for 46,5750 is 46.

Thus, LCM of Fractions is 112710/46.Finally, LCM of Fractions for 390/46, 867/5750 is 112710/46.