Least Common Multiple of 41/196, 3580/9266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/196, 3580/9266 quickly i.e. 73390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/196, 3580/9266 is 73390.

LCM(41/196, 3580/9266) = 73390

LCM of 41/196, 3580/9266

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 41/196,3580/9266

Given numbers are 41/196,3580/9266

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 41,3580

Least Common Multiple of Numerators i.e. LCM of 41,3580 is 146780.

GCF of Denominators means GCF of 196,9266 as per the given fractions.

GCF of 196,9266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,3580

LCM of Fractions 41/196,3580/9266 is 73390

Given numbers has no common factors except 1. So, there LCM is their product i.e 146780

Least Common Multiple of 41,3580 with GCF Formula

Least Common Multiple of 41,3580 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 41,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,3580) = 1

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

GCF(41,3580) x common factors =1 x 1 = 1

LCM(41,3580) = ( 41 × 3580 ) / 1

LCM(41,3580) = 146780 / 1

LCM(41,3580) = 146780


Lets's calculate GCF of 196,9266

2 196, 9266
98, 4633

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146780/2

Therefore the LCM of Fractions 41/196,3580/9266 is 73390

Greatest Common Factor of 196,9266 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,9266 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 9266

List of positive integer factors of 9266 that divides 9266 without a remainder.

1,2,41,82,113,226,4633,9266

Greatest Common Factor

We found the factors 196,9266 . The biggest common factor number is the GCF number.
So the greatest common factor 196,9266 is 2.


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 41/196, 3580/9266

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 41/196, 3580/9266?

Answer: LCM of Numerators as per given numbers 41/196, 3580/9266 is

LCM of Numerators i.e. for 41,3580 is 146780

GCF of denominators i.e. for 196,9266 is 2.

Thus, LCM of Fractions is 73390.Finally, LCM of Fractions for 41/196, 3580/9266 is 73390.