Least Common Multiple of 6858/412, 1485/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6858/412, 1485/886 quickly i.e. 188595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6858/412, 1485/886 is 188595.

LCM(6858/412, 1485/886) = 188595

LCM of 6858/412, 1485/886

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 6858/412,1485/886

Given numbers are 6858/412,1485/886

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 6858,1485

Least Common Multiple of Numerators i.e. LCM of 6858,1485 is 377190.

GCF of Denominators means GCF of 412,886 as per the given fractions.

GCF of 412,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6858,1485

LCM of Fractions 6858/412,1485/886 is 188595

3 6858, 1485
3 2286, 495
3 762, 165
254, 55

∴ So the LCM of the given numbers is 3 x 3 x 3 x 254 x 55 = 377190

Least Common Multiple of 6858,1485 with GCF Formula

Least Common Multiple of 6858,1485 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 6858,1485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6858,1485) = 27

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

GCF(6858,1485) x common factors =27 x 1 = 27

LCM(6858,1485) = ( 6858 × 1485 ) / 27

LCM(6858,1485) = 10184130 / 27

LCM(6858,1485) = 377190


Lets's calculate GCF of 412,886

2 412, 886
206, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377190/2

Therefore the LCM of Fractions 6858/412,1485/886 is 188595

Greatest Common Factor of 412,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,886 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 412,886 . The biggest common factor number is the GCF number.
So the greatest common factor 412,886 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 6858/412, 1485/886

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 6858/412, 1485/886?

Answer: LCM of Numerators as per given numbers 6858/412, 1485/886 is

LCM of Numerators i.e. for 6858,1485 is 377190

GCF of denominators i.e. for 412,886 is 2.

Thus, LCM of Fractions is 188595.Finally, LCM of Fractions for 6858/412, 1485/886 is 188595.