Least Common Multiple of 802/81, 550/76, 325/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/81, 550/76, 325/71 quickly i.e. 2867150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/81, 550/76, 325/71 is 2867150.

LCM(802/81, 550/76, 325/71) = 2867150

LCM of 802/81, 550/76, 325/71

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 802/81,550/76,325/71

Given numbers are 802/81,550/76,325/71

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 802,550,325

Least Common Multiple of Numerators i.e. LCM of 802,550,325 is 2867150.

GCF of Denominators means GCF of 81,76,71 as per the given fractions.

GCF of 81,76,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,550,325

LCM of Fractions 802/81,550/76,325/71 is 2867150

2 802, 550, 325
5 401, 275, 325
5 401, 55, 65
401, 11, 13

∴ So the LCM of the given numbers is 2 x 5 x 5 x 401 x 11 x 13 = 2867150

Least Common Multiple of 802,550,325 with GCF Formula

Least Common Multiple of 802,550,325 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 802,550,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,550,325) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(802,550,325) x common factors =1 x 50 = 50

LCM(802,550,325) = ( 802 × 550 × 325 ) / 50

LCM(802,550,325) = 143357500 / 50

LCM(802,550,325) = 2867150


Lets's calculate GCF of 81,76,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2867150/1

Therefore the LCM of Fractions 802/81,550/76,325/71 is 2867150

Greatest Common Factor of 81,76,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,76,71 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 81,76,71 . The biggest common factor number is the GCF number.
So the greatest common factor 81,76,71 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/81, 550/76, 325/71

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 802/81, 550/76, 325/71?

Answer: LCM of Numerators as per given numbers 802/81, 550/76, 325/71 is

LCM of Numerators i.e. for 802,550,325 is 2867150

GCF of denominators i.e. for 81,76,71 is 1.

Thus, LCM of Fractions is 2867150.Finally, LCM of Fractions for 802/81, 550/76, 325/71 is 2867150.