Least Common Multiple of 45/843, 81/660, 421/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/843, 81/660, 421/708 quickly i.e. 56835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/843, 81/660, 421/708 is 56835.

LCM(45/843, 81/660, 421/708) = 56835

LCM of 45/843, 81/660, 421/708

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 45/843,81/660,421/708

Given numbers are 45/843,81/660,421/708

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 45,81,421

Least Common Multiple of Numerators i.e. LCM of 45,81,421 is 170505.

GCF of Denominators means GCF of 843,660,708 as per the given fractions.

GCF of 843,660,708 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,81,421

LCM of Fractions 45/843,81/660,421/708 is 56835

3 45, 81, 421
3 15, 27, 421
5, 9, 421

∴ So the LCM of the given numbers is 3 x 3 x 5 x 9 x 421 = 170505

Least Common Multiple of 45,81,421 with GCF Formula

Least Common Multiple of 45,81,421 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 45,81,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,81,421) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,81,421) x common factors =1 x 9 = 9

LCM(45,81,421) = ( 45 × 81 × 421 ) / 9

LCM(45,81,421) = 1534545 / 9

LCM(45,81,421) = 170505


Lets's calculate GCF of 843,660,708

3 843, 660, 708
281, 220, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170505/3

Therefore the LCM of Fractions 45/843,81/660,421/708 is 56835

Greatest Common Factor of 843,660,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,660,708 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 843,660,708 . The biggest common factor number is the GCF number.
So the greatest common factor 843,660,708 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 45/843, 81/660, 421/708

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 45/843, 81/660, 421/708?

Answer: LCM of Numerators as per given numbers 45/843, 81/660, 421/708 is

LCM of Numerators i.e. for 45,81,421 is 170505

GCF of denominators i.e. for 843,660,708 is 3.

Thus, LCM of Fractions is 56835.Finally, LCM of Fractions for 45/843, 81/660, 421/708 is 56835.