Least Common Multiple of 80/11, 905/35, 868/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/11, 905/35, 868/166 quickly i.e. 3142160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/11, 905/35, 868/166 is 3142160.

LCM(80/11, 905/35, 868/166) = 3142160

LCM of 80/11, 905/35, 868/166

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 80/11,905/35,868/166

Given numbers are 80/11,905/35,868/166

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 80,905,868

Least Common Multiple of Numerators i.e. LCM of 80,905,868 is 3142160.

GCF of Denominators means GCF of 11,35,166 as per the given fractions.

GCF of 11,35,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,905,868

LCM of Fractions 80/11,905/35,868/166 is 3142160

2 80, 905, 868
2 40, 905, 434
5 20, 905, 217
4, 181, 217

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 181 x 217 = 3142160

Least Common Multiple of 80,905,868 with GCF Formula

Least Common Multiple of 80,905,868 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 80,905,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,905,868) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(80,905,868) x common factors =1 x 20 = 20

LCM(80,905,868) = ( 80 × 905 × 868 ) / 20

LCM(80,905,868) = 62843200 / 20

LCM(80,905,868) = 3142160


Lets's calculate GCF of 11,35,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3142160/1

Therefore the LCM of Fractions 80/11,905/35,868/166 is 3142160

Greatest Common Factor of 11,35,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,35,166 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 11,35,166 . The biggest common factor number is the GCF number.
So the greatest common factor 11,35,166 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/11, 905/35, 868/166

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 80/11, 905/35, 868/166?

Answer: LCM of Numerators as per given numbers 80/11, 905/35, 868/166 is

LCM of Numerators i.e. for 80,905,868 is 3142160

GCF of denominators i.e. for 11,35,166 is 1.

Thus, LCM of Fractions is 3142160.Finally, LCM of Fractions for 80/11, 905/35, 868/166 is 3142160.