Least Common Multiple of 106/206, 9496/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/206, 9496/581 quickly i.e. 503288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/206, 9496/581 is 503288.

LCM(106/206, 9496/581) = 503288

LCM of 106/206, 9496/581

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 106/206,9496/581

Given numbers are 106/206,9496/581

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 106,9496

Least Common Multiple of Numerators i.e. LCM of 106,9496 is 503288.

GCF of Denominators means GCF of 206,581 as per the given fractions.

GCF of 206,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,9496

LCM of Fractions 106/206,9496/581 is 503288

2 106, 9496
53, 4748

∴ So the LCM of the given numbers is 2 x 53 x 4748 = 503288

Least Common Multiple of 106,9496 with GCF Formula

Least Common Multiple of 106,9496 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 106,9496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,9496) = 2

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

GCF(106,9496) x common factors =2 x 1 = 2

LCM(106,9496) = ( 106 × 9496 ) / 2

LCM(106,9496) = 1006576 / 2

LCM(106,9496) = 503288


Lets's calculate GCF of 206,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503288/1

Therefore the LCM of Fractions 106/206,9496/581 is 503288

Greatest Common Factor of 206,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,581 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 206,581 . The biggest common factor number is the GCF number.
So the greatest common factor 206,581 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 106/206, 9496/581

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 106/206, 9496/581?

Answer: LCM of Numerators as per given numbers 106/206, 9496/581 is

LCM of Numerators i.e. for 106,9496 is 503288

GCF of denominators i.e. for 206,581 is 1.

Thus, LCM of Fractions is 503288.Finally, LCM of Fractions for 106/206, 9496/581 is 503288.