Least Common Multiple of 6849/858, 7843/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6849/858, 7843/315 quickly i.e. 17905569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6849/858, 7843/315 is 17905569.

LCM(6849/858, 7843/315) = 17905569

LCM of 6849/858, 7843/315

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 6849/858,7843/315

Given numbers are 6849/858,7843/315

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 6849,7843

Least Common Multiple of Numerators i.e. LCM of 6849,7843 is 53716707.

GCF of Denominators means GCF of 858,315 as per the given fractions.

GCF of 858,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6849,7843

LCM of Fractions 6849/858,7843/315 is 17905569

Given numbers has no common factors except 1. So, there LCM is their product i.e 53716707

Least Common Multiple of 6849,7843 with GCF Formula

Least Common Multiple of 6849,7843 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 6849,7843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6849,7843) = 1

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

GCF(6849,7843) x common factors =1 x 1 = 1

LCM(6849,7843) = ( 6849 × 7843 ) / 1

LCM(6849,7843) = 53716707 / 1

LCM(6849,7843) = 53716707


Lets's calculate GCF of 858,315

3 858, 315
286, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53716707/3

Therefore the LCM of Fractions 6849/858,7843/315 is 17905569

Greatest Common Factor of 858,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,315 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

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 858,315 . The biggest common factor number is the GCF number.
So the greatest common factor 858,315 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 6849/858, 7843/315

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 6849/858, 7843/315?

Answer: LCM of Numerators as per given numbers 6849/858, 7843/315 is

LCM of Numerators i.e. for 6849,7843 is 53716707

GCF of denominators i.e. for 858,315 is 3.

Thus, LCM of Fractions is 17905569.Finally, LCM of Fractions for 6849/858, 7843/315 is 17905569.