Least Common Multiple of 142/22, 518/41, 353/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/22, 518/41, 353/470 quickly i.e. 12982634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/22, 518/41, 353/470 is 12982634.

LCM(142/22, 518/41, 353/470) = 12982634

LCM of 142/22, 518/41, 353/470

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 142/22,518/41,353/470

Given numbers are 142/22,518/41,353/470

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 142,518,353

Least Common Multiple of Numerators i.e. LCM of 142,518,353 is 12982634.

GCF of Denominators means GCF of 22,41,470 as per the given fractions.

GCF of 22,41,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,518,353

LCM of Fractions 142/22,518/41,353/470 is 12982634

2 142, 518, 353
71, 259, 353

∴ So the LCM of the given numbers is 2 x 71 x 259 x 353 = 12982634

Least Common Multiple of 142,518,353 with GCF Formula

Least Common Multiple of 142,518,353 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 142,518,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,518,353) = 1

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

GCF(142,518,353) x common factors =1 x 2 = 2

LCM(142,518,353) = ( 142 × 518 × 353 ) / 2

LCM(142,518,353) = 25965268 / 2

LCM(142,518,353) = 12982634


Lets's calculate GCF of 22,41,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12982634/1

Therefore the LCM of Fractions 142/22,518/41,353/470 is 12982634

Greatest Common Factor of 22,41,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,41,470 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 22,41,470 . The biggest common factor number is the GCF number.
So the greatest common factor 22,41,470 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 142/22, 518/41, 353/470

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 142/22, 518/41, 353/470?

Answer: LCM of Numerators as per given numbers 142/22, 518/41, 353/470 is

LCM of Numerators i.e. for 142,518,353 is 12982634

GCF of denominators i.e. for 22,41,470 is 1.

Thus, LCM of Fractions is 12982634.Finally, LCM of Fractions for 142/22, 518/41, 353/470 is 12982634.