Least Common Multiple of 7890/466, 1152/5289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7890/466, 1152/5289 quickly i.e. 1514880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7890/466, 1152/5289 is 1514880.

LCM(7890/466, 1152/5289) = 1514880

LCM of 7890/466, 1152/5289

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 7890/466,1152/5289

Given numbers are 7890/466,1152/5289

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 7890,1152

Least Common Multiple of Numerators i.e. LCM of 7890,1152 is 1514880.

GCF of Denominators means GCF of 466,5289 as per the given fractions.

GCF of 466,5289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7890,1152

LCM of Fractions 7890/466,1152/5289 is 1514880

2 7890, 1152
3 3945, 576
1315, 192

∴ So the LCM of the given numbers is 2 x 3 x 1315 x 192 = 1514880

Least Common Multiple of 7890,1152 with GCF Formula

Least Common Multiple of 7890,1152 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 7890,1152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7890,1152) = 6

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

GCF(7890,1152) x common factors =6 x 1 = 6

LCM(7890,1152) = ( 7890 × 1152 ) / 6

LCM(7890,1152) = 9089280 / 6

LCM(7890,1152) = 1514880


Lets's calculate GCF of 466,5289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1514880/1

Therefore the LCM of Fractions 7890/466,1152/5289 is 1514880

Greatest Common Factor of 466,5289 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,5289 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 5289

List of positive integer factors of 5289 that divides 5289 without a remainder.

1,3,41,43,123,129,1763,5289

Greatest Common Factor

We found the factors 466,5289 . The biggest common factor number is the GCF number.
So the greatest common factor 466,5289 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 7890/466, 1152/5289

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 7890/466, 1152/5289?

Answer: LCM of Numerators as per given numbers 7890/466, 1152/5289 is

LCM of Numerators i.e. for 7890,1152 is 1514880

GCF of denominators i.e. for 466,5289 is 1.

Thus, LCM of Fractions is 1514880.Finally, LCM of Fractions for 7890/466, 1152/5289 is 1514880.