Least Common Multiple of 352/240, 878/186, 390/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/240, 878/186, 390/487 quickly i.e. 30132960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/240, 878/186, 390/487 is 30132960.

LCM(352/240, 878/186, 390/487) = 30132960

LCM of 352/240, 878/186, 390/487

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 352/240,878/186,390/487

Given numbers are 352/240,878/186,390/487

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 352,878,390

Least Common Multiple of Numerators i.e. LCM of 352,878,390 is 30132960.

GCF of Denominators means GCF of 240,186,487 as per the given fractions.

GCF of 240,186,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,878,390

LCM of Fractions 352/240,878/186,390/487 is 30132960

2 352, 878, 390
176, 439, 195

∴ So the LCM of the given numbers is 2 x 176 x 439 x 195 = 30132960

Least Common Multiple of 352,878,390 with GCF Formula

Least Common Multiple of 352,878,390 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 352,878,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,878,390) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(352,878,390) x common factors =2 x 2 = 4

LCM(352,878,390) = ( 352 × 878 × 390 ) / 4

LCM(352,878,390) = 120531840 / 4

LCM(352,878,390) = 30132960


Lets's calculate GCF of 240,186,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30132960/1

Therefore the LCM of Fractions 352/240,878/186,390/487 is 30132960

Greatest Common Factor of 240,186,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,186,487 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 240,186,487 . The biggest common factor number is the GCF number.
So the greatest common factor 240,186,487 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 352/240, 878/186, 390/487

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 352/240, 878/186, 390/487?

Answer: LCM of Numerators as per given numbers 352/240, 878/186, 390/487 is

LCM of Numerators i.e. for 352,878,390 is 30132960

GCF of denominators i.e. for 240,186,487 is 1.

Thus, LCM of Fractions is 30132960.Finally, LCM of Fractions for 352/240, 878/186, 390/487 is 30132960.