Least Common Multiple of 308/805, 3270/4876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/805, 3270/4876 quickly i.e. 503580/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/805, 3270/4876 is 503580/23.

LCM(308/805, 3270/4876) = 503580/23

LCM of 308/805, 3270/4876

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 308/805,3270/4876

Given numbers are 308/805,3270/4876

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 308,3270

Least Common Multiple of Numerators i.e. LCM of 308,3270 is 503580.

GCF of Denominators means GCF of 805,4876 as per the given fractions.

GCF of 805,4876 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,3270

LCM of Fractions 308/805,3270/4876 is 503580/23

2 308, 3270
154, 1635

∴ So the LCM of the given numbers is 2 x 154 x 1635 = 503580

Least Common Multiple of 308,3270 with GCF Formula

Least Common Multiple of 308,3270 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 308,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,3270) = 2

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

GCF(308,3270) x common factors =2 x 1 = 2

LCM(308,3270) = ( 308 × 3270 ) / 2

LCM(308,3270) = 1007160 / 2

LCM(308,3270) = 503580


Lets's calculate GCF of 805,4876

23 805, 4876
35, 212

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503580/23

Therefore the LCM of Fractions 308/805,3270/4876 is 503580/23

Greatest Common Factor of 805,4876 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,4876 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 4876

List of positive integer factors of 4876 that divides 4876 without a remainder.

1,2,4,23,46,53,92,106,212,1219,2438,4876

Greatest Common Factor

We found the factors 805,4876 . The biggest common factor number is the GCF number.
So the greatest common factor 805,4876 is 23.


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 308/805, 3270/4876

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 308/805, 3270/4876?

Answer: LCM of Numerators as per given numbers 308/805, 3270/4876 is

LCM of Numerators i.e. for 308,3270 is 503580

GCF of denominators i.e. for 805,4876 is 23.

Thus, LCM of Fractions is 503580/23.Finally, LCM of Fractions for 308/805, 3270/4876 is 503580/23.