Least Common Multiple of 4905/346, 7863/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4905/346, 7863/268 quickly i.e. 12856005/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4905/346, 7863/268 is 12856005/2.

LCM(4905/346, 7863/268) = 12856005/2

LCM of 4905/346, 7863/268

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 4905/346,7863/268

Given numbers are 4905/346,7863/268

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 4905,7863

Least Common Multiple of Numerators i.e. LCM of 4905,7863 is 12856005.

GCF of Denominators means GCF of 346,268 as per the given fractions.

GCF of 346,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4905,7863

LCM of Fractions 4905/346,7863/268 is 12856005/2

3 4905, 7863
1635, 2621

∴ So the LCM of the given numbers is 3 x 1635 x 2621 = 12856005

Least Common Multiple of 4905,7863 with GCF Formula

Least Common Multiple of 4905,7863 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 4905,7863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4905,7863) = 3

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

GCF(4905,7863) x common factors =3 x 1 = 3

LCM(4905,7863) = ( 4905 × 7863 ) / 3

LCM(4905,7863) = 38568015 / 3

LCM(4905,7863) = 12856005


Lets's calculate GCF of 346,268

2 346, 268
173, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12856005/2

Therefore the LCM of Fractions 4905/346,7863/268 is 12856005/2

Greatest Common Factor of 346,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,268 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 346,268 . The biggest common factor number is the GCF number.
So the greatest common factor 346,268 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 4905/346, 7863/268

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 4905/346, 7863/268?

Answer: LCM of Numerators as per given numbers 4905/346, 7863/268 is

LCM of Numerators i.e. for 4905,7863 is 12856005

GCF of denominators i.e. for 346,268 is 2.

Thus, LCM of Fractions is 12856005/2.Finally, LCM of Fractions for 4905/346, 7863/268 is 12856005/2.