Least Common Multiple of 20/95, 86/55, 966/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/95, 86/55, 966/314 quickly i.e. 415380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/95, 86/55, 966/314 is 415380.

LCM(20/95, 86/55, 966/314) = 415380

LCM of 20/95, 86/55, 966/314

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 20/95,86/55,966/314

Given numbers are 20/95,86/55,966/314

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 20,86,966

Least Common Multiple of Numerators i.e. LCM of 20,86,966 is 415380.

GCF of Denominators means GCF of 95,55,314 as per the given fractions.

GCF of 95,55,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,86,966

LCM of Fractions 20/95,86/55,966/314 is 415380

2 20, 86, 966
10, 43, 483

∴ So the LCM of the given numbers is 2 x 10 x 43 x 483 = 415380

Least Common Multiple of 20,86,966 with GCF Formula

Least Common Multiple of 20,86,966 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 20,86,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,86,966) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(20,86,966) x common factors =2 x 2 = 4

LCM(20,86,966) = ( 20 × 86 × 966 ) / 4

LCM(20,86,966) = 1661520 / 4

LCM(20,86,966) = 415380


Lets's calculate GCF of 95,55,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415380/1

Therefore the LCM of Fractions 20/95,86/55,966/314 is 415380

Greatest Common Factor of 95,55,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,55,314 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 95,55,314 . The biggest common factor number is the GCF number.
So the greatest common factor 95,55,314 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 20/95, 86/55, 966/314

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 20/95, 86/55, 966/314?

Answer: LCM of Numerators as per given numbers 20/95, 86/55, 966/314 is

LCM of Numerators i.e. for 20,86,966 is 415380

GCF of denominators i.e. for 95,55,314 is 1.

Thus, LCM of Fractions is 415380.Finally, LCM of Fractions for 20/95, 86/55, 966/314 is 415380.