Least Common Multiple of 871/80, 707/66, 420/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/80, 707/66, 420/23 quickly i.e. 36947820 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, 707/66, 420/23 is 36947820.

LCM(871/80, 707/66, 420/23) = 36947820

LCM of 871/80, 707/66, 420/23

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 871/80,707/66,420/23

Given numbers are 871/80,707/66,420/23

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 871,707,420

Least Common Multiple of Numerators i.e. LCM of 871,707,420 is 36947820.

GCF of Denominators means GCF of 80,66,23 as per the given fractions.

GCF of 80,66,23 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,707,420

LCM of Fractions 871/80,707/66,420/23 is 36947820

7 871, 707, 420
871, 101, 60

∴ So the LCM of the given numbers is 7 x 871 x 101 x 60 = 36947820

Least Common Multiple of 871,707,420 with GCF Formula

Least Common Multiple of 871,707,420 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 871,707,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,707,420) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(871,707,420) x common factors =1 x 7 = 7

LCM(871,707,420) = ( 871 × 707 × 420 ) / 7

LCM(871,707,420) = 258634740 / 7

LCM(871,707,420) = 36947820


Lets's calculate GCF of 80,66,23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36947820/1

Therefore the LCM of Fractions 871/80,707/66,420/23 is 36947820

Greatest Common Factor of 80,66,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,66,23 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 66

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

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

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 80,66,23 . The biggest common factor number is the GCF number.
So the greatest common factor 80,66,23 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, 707/66, 420/23

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, 707/66, 420/23?

Answer: LCM of Numerators as per given numbers 871/80, 707/66, 420/23 is

LCM of Numerators i.e. for 871,707,420 is 36947820

GCF of denominators i.e. for 80,66,23 is 1.

Thus, LCM of Fractions is 36947820.Finally, LCM of Fractions for 871/80, 707/66, 420/23 is 36947820.