Least Common Multiple of 805/66, 108/87, 731/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/66, 108/87, 731/470 quickly i.e. 63553140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/66, 108/87, 731/470 is 63553140.

LCM(805/66, 108/87, 731/470) = 63553140

LCM of 805/66, 108/87, 731/470

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 805/66,108/87,731/470

Given numbers are 805/66,108/87,731/470

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 805,108,731

Least Common Multiple of Numerators i.e. LCM of 805,108,731 is 63553140.

GCF of Denominators means GCF of 66,87,470 as per the given fractions.

GCF of 66,87,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,108,731

LCM of Fractions 805/66,108/87,731/470 is 63553140

Given numbers has no common factors except 1. So, there LCM is their product i.e 63553140

Least Common Multiple of 805,108,731 with GCF Formula

Least Common Multiple of 805,108,731 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 805,108,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,108,731) = 1

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

GCF(805,108,731) x common factors =1 x 1 = 1

LCM(805,108,731) = ( 805 × 108 × 731 ) / 1

LCM(805,108,731) = 63553140 / 1

LCM(805,108,731) = 63553140


Lets's calculate GCF of 66,87,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63553140/1

Therefore the LCM of Fractions 805/66,108/87,731/470 is 63553140

Greatest Common Factor of 66,87,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,87,470 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 66,87,470 . The biggest common factor number is the GCF number.
So the greatest common factor 66,87,470 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 805/66, 108/87, 731/470

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 805/66, 108/87, 731/470?

Answer: LCM of Numerators as per given numbers 805/66, 108/87, 731/470 is

LCM of Numerators i.e. for 805,108,731 is 63553140

GCF of denominators i.e. for 66,87,470 is 1.

Thus, LCM of Fractions is 63553140.Finally, LCM of Fractions for 805/66, 108/87, 731/470 is 63553140.