Least Common Multiple of 81/849, 877/169, 147/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/849, 877/169, 147/690 quickly i.e. 3480813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/849, 877/169, 147/690 is 3480813.

LCM(81/849, 877/169, 147/690) = 3480813

LCM of 81/849, 877/169, 147/690

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 81/849,877/169,147/690

Given numbers are 81/849,877/169,147/690

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 81,877,147

Least Common Multiple of Numerators i.e. LCM of 81,877,147 is 3480813.

GCF of Denominators means GCF of 849,169,690 as per the given fractions.

GCF of 849,169,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,877,147

LCM of Fractions 81/849,877/169,147/690 is 3480813

3 81, 877, 147
27, 877, 49

∴ So the LCM of the given numbers is 3 x 27 x 877 x 49 = 3480813

Least Common Multiple of 81,877,147 with GCF Formula

Least Common Multiple of 81,877,147 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 81,877,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,877,147) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,877,147) x common factors =1 x 3 = 3

LCM(81,877,147) = ( 81 × 877 × 147 ) / 3

LCM(81,877,147) = 10442439 / 3

LCM(81,877,147) = 3480813


Lets's calculate GCF of 849,169,690

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480813/1

Therefore the LCM of Fractions 81/849,877/169,147/690 is 3480813

Greatest Common Factor of 849,169,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,169,690 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 849,169,690 . The biggest common factor number is the GCF number.
So the greatest common factor 849,169,690 is 1.


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 81/849, 877/169, 147/690

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 81/849, 877/169, 147/690?

Answer: LCM of Numerators as per given numbers 81/849, 877/169, 147/690 is

LCM of Numerators i.e. for 81,877,147 is 3480813

GCF of denominators i.e. for 849,169,690 is 1.

Thus, LCM of Fractions is 3480813.Finally, LCM of Fractions for 81/849, 877/169, 147/690 is 3480813.