Least Common Multiple of 620/417, 386/288, 533/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 620/417, 386/288, 533/555 quickly i.e. 63778780/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 620/417, 386/288, 533/555 is 63778780/3.

LCM(620/417, 386/288, 533/555) = 63778780/3

LCM of 620/417, 386/288, 533/555

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 620/417,386/288,533/555

Given numbers are 620/417,386/288,533/555

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 620,386,533

Least Common Multiple of Numerators i.e. LCM of 620,386,533 is 63778780.

GCF of Denominators means GCF of 417,288,555 as per the given fractions.

GCF of 417,288,555 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 620,386,533

LCM of Fractions 620/417,386/288,533/555 is 63778780/3

2 620, 386, 533
310, 193, 533

∴ So the LCM of the given numbers is 2 x 310 x 193 x 533 = 63778780

Least Common Multiple of 620,386,533 with GCF Formula

Least Common Multiple of 620,386,533 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 620,386,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,386,533) = 1

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

GCF(620,386,533) x common factors =1 x 2 = 2

LCM(620,386,533) = ( 620 × 386 × 533 ) / 2

LCM(620,386,533) = 127557560 / 2

LCM(620,386,533) = 63778780


Lets's calculate GCF of 417,288,555

3 417, 288, 555
139, 96, 185

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63778780/3

Therefore the LCM of Fractions 620/417,386/288,533/555 is 63778780/3

Greatest Common Factor of 417,288,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,288,555 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 417,288,555 . The biggest common factor number is the GCF number.
So the greatest common factor 417,288,555 is 3.


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 620/417, 386/288, 533/555

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 620/417, 386/288, 533/555?

Answer: LCM of Numerators as per given numbers 620/417, 386/288, 533/555 is

LCM of Numerators i.e. for 620,386,533 is 63778780

GCF of denominators i.e. for 417,288,555 is 3.

Thus, LCM of Fractions is 63778780/3.Finally, LCM of Fractions for 620/417, 386/288, 533/555 is 63778780/3.