Least Common Multiple of 681/42, 6798/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/42, 6798/315 quickly i.e. 1543146/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/42, 6798/315 is 1543146/21.

LCM(681/42, 6798/315) = 1543146/21

LCM of 681/42, 6798/315

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 681/42,6798/315

Given numbers are 681/42,6798/315

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 681,6798

Least Common Multiple of Numerators i.e. LCM of 681,6798 is 1543146.

GCF of Denominators means GCF of 42,315 as per the given fractions.

GCF of 42,315 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,6798

LCM of Fractions 681/42,6798/315 is 1543146/21

3 681, 6798
227, 2266

∴ So the LCM of the given numbers is 3 x 227 x 2266 = 1543146

Least Common Multiple of 681,6798 with GCF Formula

Least Common Multiple of 681,6798 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 681,6798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,6798) = 3

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

GCF(681,6798) x common factors =3 x 1 = 3

LCM(681,6798) = ( 681 × 6798 ) / 3

LCM(681,6798) = 4629438 / 3

LCM(681,6798) = 1543146


Lets's calculate GCF of 42,315

3 42, 315
7 14, 105
2, 15

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1543146/21

Therefore the LCM of Fractions 681/42,6798/315 is 1543146/21

Greatest Common Factor of 42,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,315 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 42,315 . The biggest common factor number is the GCF number.
So the greatest common factor 42,315 is 21.


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 681/42, 6798/315

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 681/42, 6798/315?

Answer: LCM of Numerators as per given numbers 681/42, 6798/315 is

LCM of Numerators i.e. for 681,6798 is 1543146

GCF of denominators i.e. for 42,315 is 21.

Thus, LCM of Fractions is 1543146/21.Finally, LCM of Fractions for 681/42, 6798/315 is 1543146/21.