Least Common Multiple of 355/106, 8594/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/106, 8594/486 quickly i.e. 1525435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/106, 8594/486 is 1525435.

LCM(355/106, 8594/486) = 1525435

LCM of 355/106, 8594/486

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 355/106,8594/486

Given numbers are 355/106,8594/486

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 355,8594

Least Common Multiple of Numerators i.e. LCM of 355,8594 is 3050870.

GCF of Denominators means GCF of 106,486 as per the given fractions.

GCF of 106,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,8594

LCM of Fractions 355/106,8594/486 is 1525435

Given numbers has no common factors except 1. So, there LCM is their product i.e 3050870

Least Common Multiple of 355,8594 with GCF Formula

Least Common Multiple of 355,8594 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 355,8594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,8594) = 1

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

GCF(355,8594) x common factors =1 x 1 = 1

LCM(355,8594) = ( 355 × 8594 ) / 1

LCM(355,8594) = 3050870 / 1

LCM(355,8594) = 3050870


Lets's calculate GCF of 106,486

2 106, 486
53, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3050870/2

Therefore the LCM of Fractions 355/106,8594/486 is 1525435

Greatest Common Factor of 106,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,486 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 106,486 . The biggest common factor number is the GCF number.
So the greatest common factor 106,486 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 355/106, 8594/486

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 355/106, 8594/486?

Answer: LCM of Numerators as per given numbers 355/106, 8594/486 is

LCM of Numerators i.e. for 355,8594 is 3050870

GCF of denominators i.e. for 106,486 is 2.

Thus, LCM of Fractions is 1525435.Finally, LCM of Fractions for 355/106, 8594/486 is 1525435.