Least Common Multiple of 1812/678, 6888/6303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1812/678, 6888/6303 quickly i.e. 346696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1812/678, 6888/6303 is 346696.

LCM(1812/678, 6888/6303) = 346696

LCM of 1812/678, 6888/6303

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 1812/678,6888/6303

Given numbers are 1812/678,6888/6303

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 1812,6888

Least Common Multiple of Numerators i.e. LCM of 1812,6888 is 1040088.

GCF of Denominators means GCF of 678,6303 as per the given fractions.

GCF of 678,6303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1812,6888

LCM of Fractions 1812/678,6888/6303 is 346696

2 1812, 6888
2 906, 3444
3 453, 1722
151, 574

∴ So the LCM of the given numbers is 2 x 2 x 3 x 151 x 574 = 1040088

Least Common Multiple of 1812,6888 with GCF Formula

Least Common Multiple of 1812,6888 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 1812,6888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1812,6888) = 12

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

GCF(1812,6888) x common factors =12 x 1 = 12

LCM(1812,6888) = ( 1812 × 6888 ) / 12

LCM(1812,6888) = 12481056 / 12

LCM(1812,6888) = 1040088


Lets's calculate GCF of 678,6303

3 678, 6303
226, 2101

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1040088/3

Therefore the LCM of Fractions 1812/678,6888/6303 is 346696

Greatest Common Factor of 678,6303 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,6303 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1,3,11,33,191,573,2101,6303

Greatest Common Factor

We found the factors 678,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 678,6303 is 3.


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 1812/678, 6888/6303

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 1812/678, 6888/6303?

Answer: LCM of Numerators as per given numbers 1812/678, 6888/6303 is

LCM of Numerators i.e. for 1812,6888 is 1040088

GCF of denominators i.e. for 678,6303 is 3.

Thus, LCM of Fractions is 346696.Finally, LCM of Fractions for 1812/678, 6888/6303 is 346696.