Least Common Multiple of 352/878, 491/217, 390/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/878, 491/217, 390/907 quickly i.e. 33702240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/878, 491/217, 390/907 is 33702240.

LCM(352/878, 491/217, 390/907) = 33702240

LCM of 352/878, 491/217, 390/907

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 352/878,491/217,390/907

Given numbers are 352/878,491/217,390/907

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 352,491,390

Least Common Multiple of Numerators i.e. LCM of 352,491,390 is 33702240.

GCF of Denominators means GCF of 878,217,907 as per the given fractions.

GCF of 878,217,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,491,390

LCM of Fractions 352/878,491/217,390/907 is 33702240

2 352, 491, 390
176, 491, 195

∴ So the LCM of the given numbers is 2 x 176 x 491 x 195 = 33702240

Least Common Multiple of 352,491,390 with GCF Formula

Least Common Multiple of 352,491,390 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 352,491,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,491,390) = 1

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

GCF(352,491,390) x common factors =1 x 2 = 2

LCM(352,491,390) = ( 352 × 491 × 390 ) / 2

LCM(352,491,390) = 67404480 / 2

LCM(352,491,390) = 33702240


Lets's calculate GCF of 878,217,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33702240/1

Therefore the LCM of Fractions 352/878,491/217,390/907 is 33702240

Greatest Common Factor of 878,217,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,217,907 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 878,217,907 . The biggest common factor number is the GCF number.
So the greatest common factor 878,217,907 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 352/878, 491/217, 390/907

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 352/878, 491/217, 390/907?

Answer: LCM of Numerators as per given numbers 352/878, 491/217, 390/907 is

LCM of Numerators i.e. for 352,491,390 is 33702240

GCF of denominators i.e. for 878,217,907 is 1.

Thus, LCM of Fractions is 33702240.Finally, LCM of Fractions for 352/878, 491/217, 390/907 is 33702240.