Least Common Multiple of 220/817, 3166/6120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/817, 3166/6120 quickly i.e. 348260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/817, 3166/6120 is 348260.

LCM(220/817, 3166/6120) = 348260

LCM of 220/817, 3166/6120

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 220/817,3166/6120

Given numbers are 220/817,3166/6120

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 220,3166

Least Common Multiple of Numerators i.e. LCM of 220,3166 is 348260.

GCF of Denominators means GCF of 817,6120 as per the given fractions.

GCF of 817,6120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,3166

LCM of Fractions 220/817,3166/6120 is 348260

2 220, 3166
110, 1583

∴ So the LCM of the given numbers is 2 x 110 x 1583 = 348260

Least Common Multiple of 220,3166 with GCF Formula

Least Common Multiple of 220,3166 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 220,3166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,3166) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(220,3166) x common factors =2 x 1 = 2

LCM(220,3166) = ( 220 × 3166 ) / 2

LCM(220,3166) = 696520 / 2

LCM(220,3166) = 348260


Lets's calculate GCF of 817,6120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348260/1

Therefore the LCM of Fractions 220/817,3166/6120 is 348260

Greatest Common Factor of 817,6120 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,6120 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120

Greatest Common Factor

We found the factors 817,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 817,6120 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 220/817, 3166/6120

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 220/817, 3166/6120?

Answer: LCM of Numerators as per given numbers 220/817, 3166/6120 is

LCM of Numerators i.e. for 220,3166 is 348260

GCF of denominators i.e. for 817,6120 is 1.

Thus, LCM of Fractions is 348260.Finally, LCM of Fractions for 220/817, 3166/6120 is 348260.