Least Common Multiple of 390/91, 230/63, 890/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/91, 230/63, 890/750 quickly i.e. 798330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/91, 230/63, 890/750 is 798330.

LCM(390/91, 230/63, 890/750) = 798330

LCM of 390/91, 230/63, 890/750

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 390/91,230/63,890/750

Given numbers are 390/91,230/63,890/750

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 390,230,890

Least Common Multiple of Numerators i.e. LCM of 390,230,890 is 798330.

GCF of Denominators means GCF of 91,63,750 as per the given fractions.

GCF of 91,63,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,230,890

LCM of Fractions 390/91,230/63,890/750 is 798330

2 390, 230, 890
5 195, 115, 445
39, 23, 89

∴ So the LCM of the given numbers is 2 x 5 x 39 x 23 x 89 = 798330

Least Common Multiple of 390,230,890 with GCF Formula

Least Common Multiple of 390,230,890 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 390,230,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,230,890) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(390,230,890) x common factors =10 x 10 = 100

LCM(390,230,890) = ( 390 × 230 × 890 ) / 100

LCM(390,230,890) = 79833000 / 100

LCM(390,230,890) = 798330


Lets's calculate GCF of 91,63,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798330/1

Therefore the LCM of Fractions 390/91,230/63,890/750 is 798330

Greatest Common Factor of 91,63,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,63,750 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 91,63,750 . The biggest common factor number is the GCF number.
So the greatest common factor 91,63,750 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 390/91, 230/63, 890/750

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 390/91, 230/63, 890/750?

Answer: LCM of Numerators as per given numbers 390/91, 230/63, 890/750 is

LCM of Numerators i.e. for 390,230,890 is 798330

GCF of denominators i.e. for 91,63,750 is 1.

Thus, LCM of Fractions is 798330.Finally, LCM of Fractions for 390/91, 230/63, 890/750 is 798330.