Least Common Multiple of 1582/678, 6804/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1582/678, 6804/512 quickly i.e. 384426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1582/678, 6804/512 is 384426.

LCM(1582/678, 6804/512) = 384426

LCM of 1582/678, 6804/512

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 1582/678,6804/512

Given numbers are 1582/678,6804/512

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 1582,6804

Least Common Multiple of Numerators i.e. LCM of 1582,6804 is 768852.

GCF of Denominators means GCF of 678,512 as per the given fractions.

GCF of 678,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1582,6804

LCM of Fractions 1582/678,6804/512 is 384426

2 1582, 6804
7 791, 3402
113, 486

∴ So the LCM of the given numbers is 2 x 7 x 113 x 486 = 768852

Least Common Multiple of 1582,6804 with GCF Formula

Least Common Multiple of 1582,6804 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 1582,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1582,6804) = 14

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

GCF(1582,6804) x common factors =14 x 1 = 14

LCM(1582,6804) = ( 1582 × 6804 ) / 14

LCM(1582,6804) = 10763928 / 14

LCM(1582,6804) = 768852


Lets's calculate GCF of 678,512

2 678, 512
339, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768852/2

Therefore the LCM of Fractions 1582/678,6804/512 is 384426

Greatest Common Factor of 678,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,512 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 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 678,512 . The biggest common factor number is the GCF number.
So the greatest common factor 678,512 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 1582/678, 6804/512

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 1582/678, 6804/512?

Answer: LCM of Numerators as per given numbers 1582/678, 6804/512 is

LCM of Numerators i.e. for 1582,6804 is 768852

GCF of denominators i.e. for 678,512 is 2.

Thus, LCM of Fractions is 384426.Finally, LCM of Fractions for 1582/678, 6804/512 is 384426.