Least Common Multiple of 8242/306, 1193/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8242/306, 1193/455 quickly i.e. 9832706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8242/306, 1193/455 is 9832706.

LCM(8242/306, 1193/455) = 9832706

LCM of 8242/306, 1193/455

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 8242/306,1193/455

Given numbers are 8242/306,1193/455

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 8242,1193

Least Common Multiple of Numerators i.e. LCM of 8242,1193 is 9832706.

GCF of Denominators means GCF of 306,455 as per the given fractions.

GCF of 306,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8242,1193

LCM of Fractions 8242/306,1193/455 is 9832706

Given numbers has no common factors except 1. So, there LCM is their product i.e 9832706

Least Common Multiple of 8242,1193 with GCF Formula

Least Common Multiple of 8242,1193 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 8242,1193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8242,1193) = 1

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

GCF(8242,1193) x common factors =1 x 1 = 1

LCM(8242,1193) = ( 8242 × 1193 ) / 1

LCM(8242,1193) = 9832706 / 1

LCM(8242,1193) = 9832706


Lets's calculate GCF of 306,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9832706/1

Therefore the LCM of Fractions 8242/306,1193/455 is 9832706

Greatest Common Factor of 306,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,455 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 306,455 . The biggest common factor number is the GCF number.
So the greatest common factor 306,455 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 8242/306, 1193/455

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 8242/306, 1193/455?

Answer: LCM of Numerators as per given numbers 8242/306, 1193/455 is

LCM of Numerators i.e. for 8242,1193 is 9832706

GCF of denominators i.e. for 306,455 is 1.

Thus, LCM of Fractions is 9832706.Finally, LCM of Fractions for 8242/306, 1193/455 is 9832706.