Least Common Multiple of 220/795, 214/524, 214/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/795, 214/524, 214/186 quickly i.e. 23540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/795, 214/524, 214/186 is 23540.

LCM(220/795, 214/524, 214/186) = 23540

LCM of 220/795, 214/524, 214/186

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 220/795,214/524,214/186

Given numbers are 220/795,214/524,214/186

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 220,214,214

Least Common Multiple of Numerators i.e. LCM of 220,214,214 is 23540.

GCF of Denominators means GCF of 795,524,186 as per the given fractions.

GCF of 795,524,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,214,214

LCM of Fractions 220/795,214/524,214/186 is 23540

2 220, 214, 214
107 110, 107, 107
110, 1, 1

∴ So the LCM of the given numbers is 2 x 107 x 110 x 1 x 1 = 23540

Least Common Multiple of 220,214,214 with GCF Formula

Least Common Multiple of 220,214,214 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 220,214,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,214,214) = 2

common factors(in case of two or more numbers have common factors) = 214

GCF(220,214,214) x common factors =2 x 214 = 428

LCM(220,214,214) = ( 220 × 214 × 214 ) / 428

LCM(220,214,214) = 10075120 / 428

LCM(220,214,214) = 23540


Lets's calculate GCF of 795,524,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23540/1

Therefore the LCM of Fractions 220/795,214/524,214/186 is 23540

Greatest Common Factor of 795,524,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,524,186 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 795,524,186 . The biggest common factor number is the GCF number.
So the greatest common factor 795,524,186 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 220/795, 214/524, 214/186

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 220/795, 214/524, 214/186?

Answer: LCM of Numerators as per given numbers 220/795, 214/524, 214/186 is

LCM of Numerators i.e. for 220,214,214 is 23540

GCF of denominators i.e. for 795,524,186 is 1.

Thus, LCM of Fractions is 23540.Finally, LCM of Fractions for 220/795, 214/524, 214/186 is 23540.