Least Common Multiple of 6846/735, 6911/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6846/735, 6911/162 quickly i.e. 15770902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6846/735, 6911/162 is 15770902.

LCM(6846/735, 6911/162) = 15770902

LCM of 6846/735, 6911/162

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 6846/735,6911/162

Given numbers are 6846/735,6911/162

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 6846,6911

Least Common Multiple of Numerators i.e. LCM of 6846,6911 is 47312706.

GCF of Denominators means GCF of 735,162 as per the given fractions.

GCF of 735,162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6846,6911

LCM of Fractions 6846/735,6911/162 is 15770902

Given numbers has no common factors except 1. So, there LCM is their product i.e 47312706

Least Common Multiple of 6846,6911 with GCF Formula

Least Common Multiple of 6846,6911 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 6846,6911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6846,6911) = 1

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

GCF(6846,6911) x common factors =1 x 1 = 1

LCM(6846,6911) = ( 6846 × 6911 ) / 1

LCM(6846,6911) = 47312706 / 1

LCM(6846,6911) = 47312706


Lets's calculate GCF of 735,162

3 735, 162
245, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47312706/3

Therefore the LCM of Fractions 6846/735,6911/162 is 15770902

Greatest Common Factor of 735,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,162 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 735,162 . The biggest common factor number is the GCF number.
So the greatest common factor 735,162 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 6846/735, 6911/162

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 6846/735, 6911/162?

Answer: LCM of Numerators as per given numbers 6846/735, 6911/162 is

LCM of Numerators i.e. for 6846,6911 is 47312706

GCF of denominators i.e. for 735,162 is 3.

Thus, LCM of Fractions is 15770902.Finally, LCM of Fractions for 6846/735, 6911/162 is 15770902.