Least Common Multiple of 871/80, 267/77, 268/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/80, 267/77, 268/463 quickly i.e. 930228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/80, 267/77, 268/463 is 930228.

LCM(871/80, 267/77, 268/463) = 930228

LCM of 871/80, 267/77, 268/463

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 871/80,267/77,268/463

Given numbers are 871/80,267/77,268/463

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 871,267,268

Least Common Multiple of Numerators i.e. LCM of 871,267,268 is 930228.

GCF of Denominators means GCF of 80,77,463 as per the given fractions.

GCF of 80,77,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,267,268

LCM of Fractions 871/80,267/77,268/463 is 930228

67 871, 267, 268
13, 267, 4

∴ So the LCM of the given numbers is 67 x 13 x 267 x 4 = 930228

Least Common Multiple of 871,267,268 with GCF Formula

Least Common Multiple of 871,267,268 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 871,267,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,267,268) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(871,267,268) x common factors =1 x 67 = 67

LCM(871,267,268) = ( 871 × 267 × 268 ) / 67

LCM(871,267,268) = 62325276 / 67

LCM(871,267,268) = 930228


Lets's calculate GCF of 80,77,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930228/1

Therefore the LCM of Fractions 871/80,267/77,268/463 is 930228

Greatest Common Factor of 80,77,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,77,463 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 80,77,463 . The biggest common factor number is the GCF number.
So the greatest common factor 80,77,463 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 871/80, 267/77, 268/463

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 871/80, 267/77, 268/463?

Answer: LCM of Numerators as per given numbers 871/80, 267/77, 268/463 is

LCM of Numerators i.e. for 871,267,268 is 930228

GCF of denominators i.e. for 80,77,463 is 1.

Thus, LCM of Fractions is 930228.Finally, LCM of Fractions for 871/80, 267/77, 268/463 is 930228.