Least Common Multiple of 41/13, 122/17, 425/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/13, 122/17, 425/282 quickly i.e. 2125850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/13, 122/17, 425/282 is 2125850.

LCM(41/13, 122/17, 425/282) = 2125850

LCM of 41/13, 122/17, 425/282

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 41/13,122/17,425/282

Given numbers are 41/13,122/17,425/282

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 41,122,425

Least Common Multiple of Numerators i.e. LCM of 41,122,425 is 2125850.

GCF of Denominators means GCF of 13,17,282 as per the given fractions.

GCF of 13,17,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,122,425

LCM of Fractions 41/13,122/17,425/282 is 2125850

Given numbers has no common factors except 1. So, there LCM is their product i.e 2125850

Least Common Multiple of 41,122,425 with GCF Formula

Least Common Multiple of 41,122,425 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 41,122,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,122,425) = 1

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

GCF(41,122,425) x common factors =1 x 1 = 1

LCM(41,122,425) = ( 41 × 122 × 425 ) / 1

LCM(41,122,425) = 2125850 / 1

LCM(41,122,425) = 2125850


Lets's calculate GCF of 13,17,282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2125850/1

Therefore the LCM of Fractions 41/13,122/17,425/282 is 2125850

Greatest Common Factor of 13,17,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,17,282 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 13,17,282 . The biggest common factor number is the GCF number.
So the greatest common factor 13,17,282 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 41/13, 122/17, 425/282

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 41/13, 122/17, 425/282?

Answer: LCM of Numerators as per given numbers 41/13, 122/17, 425/282 is

LCM of Numerators i.e. for 41,122,425 is 2125850

GCF of denominators i.e. for 13,17,282 is 1.

Thus, LCM of Fractions is 2125850.Finally, LCM of Fractions for 41/13, 122/17, 425/282 is 2125850.