Least Common Multiple of 71/70, 40/86, 20/76, 80/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/70, 40/86, 20/76, 80/882 quickly i.e. 2840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/70, 40/86, 20/76, 80/882 is 2840.

LCM(71/70, 40/86, 20/76, 80/882) = 2840

LCM of 71/70, 40/86, 20/76, 80/882

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 71/70,40/86,20/76,80/882

Given numbers are 71/70,40/86,20/76,80/882

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 71,40,20,80

Least Common Multiple of Numerators i.e. LCM of 71,40,20,80 is 5680.

GCF of Denominators means GCF of 70,86,76,882 as per the given fractions.

GCF of 70,86,76,882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,40,20,80

LCM of Fractions 71/70,40/86,20/76,80/882 is 2840

2 71, 40, 20, 80
2 71, 20, 10, 40
2 71, 5, 10, 20
5 71, 5, 5, 10
71, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 71 x 1 x 1 x 2 = 5680

Least Common Multiple of 71,40,20,80 with GCF Formula

Least Common Multiple of 71,40,20,80 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 71,40,20,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,40,20,80) = 1

common factors(in case of two or more numbers have common factors) = 800

GCF(71,40,20,80) x common factors =1 x 800 = 800

LCM(71,40,20,80) = ( 71 × 40 × 20 × 80 ) / 800

LCM(71,40,20,80) = 4544000 / 800

LCM(71,40,20,80) = 5680


Lets's calculate GCF of 70,86,76,882

2 70, 86, 76, 882
35, 43, 38, 441

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5680/2

Therefore the LCM of Fractions 71/70,40/86,20/76,80/882 is 2840

Greatest Common Factor of 70,86,76,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,86,76,882 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 76

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

1,2,4,19,38,76

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 70,86,76,882 . The biggest common factor number is the GCF number.
So the greatest common factor 70,86,76,882 is 2.


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 71/70, 40/86, 20/76, 80/882

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 71/70, 40/86, 20/76, 80/882?

Answer: LCM of Numerators as per given numbers 71/70, 40/86, 20/76, 80/882 is

LCM of Numerators i.e. for 71,40,20,80 is 5680

GCF of denominators i.e. for 70,86,76,882 is 2.

Thus, LCM of Fractions is 2840.Finally, LCM of Fractions for 71/70, 40/86, 20/76, 80/882 is 2840.