Least Common Multiple of 506/790, 9886/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 506/790, 9886/365 quickly i.e. 2501158/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/790, 9886/365 is 2501158/5.

LCM(506/790, 9886/365) = 2501158/5

LCM of 506/790, 9886/365

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 506/790,9886/365

Given numbers are 506/790,9886/365

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 506,9886

Least Common Multiple of Numerators i.e. LCM of 506,9886 is 2501158.

GCF of Denominators means GCF of 790,365 as per the given fractions.

GCF of 790,365 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,9886

LCM of Fractions 506/790,9886/365 is 2501158/5

2 506, 9886
253, 4943

∴ So the LCM of the given numbers is 2 x 253 x 4943 = 2501158

Least Common Multiple of 506,9886 with GCF Formula

Least Common Multiple of 506,9886 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 506,9886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,9886) = 2

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

GCF(506,9886) x common factors =2 x 1 = 2

LCM(506,9886) = ( 506 × 9886 ) / 2

LCM(506,9886) = 5002316 / 2

LCM(506,9886) = 2501158


Lets's calculate GCF of 790,365

5 790, 365
158, 73

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2501158/5

Therefore the LCM of Fractions 506/790,9886/365 is 2501158/5

Greatest Common Factor of 790,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,365 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 790,365 . The biggest common factor number is the GCF number.
So the greatest common factor 790,365 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 506/790, 9886/365

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 506/790, 9886/365?

Answer: LCM of Numerators as per given numbers 506/790, 9886/365 is

LCM of Numerators i.e. for 506,9886 is 2501158

GCF of denominators i.e. for 790,365 is 5.

Thus, LCM of Fractions is 2501158/5.Finally, LCM of Fractions for 506/790, 9886/365 is 2501158/5.