Least Common Multiple of 801/48, 682/1786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/48, 682/1786 quickly i.e. 273141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/48, 682/1786 is 273141.

LCM(801/48, 682/1786) = 273141

LCM of 801/48, 682/1786

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 801/48,682/1786

Given numbers are 801/48,682/1786

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 801,682

Least Common Multiple of Numerators i.e. LCM of 801,682 is 546282.

GCF of Denominators means GCF of 48,1786 as per the given fractions.

GCF of 48,1786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,682

LCM of Fractions 801/48,682/1786 is 273141

Given numbers has no common factors except 1. So, there LCM is their product i.e 546282

Least Common Multiple of 801,682 with GCF Formula

Least Common Multiple of 801,682 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 801,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,682) = 1

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

GCF(801,682) x common factors =1 x 1 = 1

LCM(801,682) = ( 801 × 682 ) / 1

LCM(801,682) = 546282 / 1

LCM(801,682) = 546282


Lets's calculate GCF of 48,1786

2 48, 1786
24, 893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546282/2

Therefore the LCM of Fractions 801/48,682/1786 is 273141

Greatest Common Factor of 48,1786 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,1786 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1,2,19,38,47,94,893,1786

Greatest Common Factor

We found the factors 48,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 48,1786 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 801/48, 682/1786

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 801/48, 682/1786?

Answer: LCM of Numerators as per given numbers 801/48, 682/1786 is

LCM of Numerators i.e. for 801,682 is 546282

GCF of denominators i.e. for 48,1786 is 2.

Thus, LCM of Fractions is 273141.Finally, LCM of Fractions for 801/48, 682/1786 is 273141.