Least Common Multiple of 3846/16, 5481/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3846/16, 5481/858 quickly i.e. 3513321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3846/16, 5481/858 is 3513321.

LCM(3846/16, 5481/858) = 3513321

LCM of 3846/16, 5481/858

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 3846/16,5481/858

Given numbers are 3846/16,5481/858

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 3846,5481

Least Common Multiple of Numerators i.e. LCM of 3846,5481 is 7026642.

GCF of Denominators means GCF of 16,858 as per the given fractions.

GCF of 16,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3846,5481

LCM of Fractions 3846/16,5481/858 is 3513321

3 3846, 5481
1282, 1827

∴ So the LCM of the given numbers is 3 x 1282 x 1827 = 7026642

Least Common Multiple of 3846,5481 with GCF Formula

Least Common Multiple of 3846,5481 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 3846,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3846,5481) = 3

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

GCF(3846,5481) x common factors =3 x 1 = 3

LCM(3846,5481) = ( 3846 × 5481 ) / 3

LCM(3846,5481) = 21079926 / 3

LCM(3846,5481) = 7026642


Lets's calculate GCF of 16,858

2 16, 858
8, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7026642/2

Therefore the LCM of Fractions 3846/16,5481/858 is 3513321

Greatest Common Factor of 16,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,858 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 16,858 . The biggest common factor number is the GCF number.
So the greatest common factor 16,858 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 3846/16, 5481/858

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 3846/16, 5481/858?

Answer: LCM of Numerators as per given numbers 3846/16, 5481/858 is

LCM of Numerators i.e. for 3846,5481 is 7026642

GCF of denominators i.e. for 16,858 is 2.

Thus, LCM of Fractions is 3513321.Finally, LCM of Fractions for 3846/16, 5481/858 is 3513321.