Least Common Multiple of 55/486, 11/660, 800/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/486, 11/660, 800/462 quickly i.e. 8800/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/486, 11/660, 800/462 is 8800/6.

LCM(55/486, 11/660, 800/462) = 8800/6

LCM of 55/486, 11/660, 800/462

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 55/486,11/660,800/462

Given numbers are 55/486,11/660,800/462

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 55,11,800

Least Common Multiple of Numerators i.e. LCM of 55,11,800 is 8800.

GCF of Denominators means GCF of 486,660,462 as per the given fractions.

GCF of 486,660,462 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,11,800

LCM of Fractions 55/486,11/660,800/462 is 8800/6

5 55, 11, 800
11 11, 11, 160
1, 1, 160

∴ So the LCM of the given numbers is 5 x 11 x 1 x 1 x 160 = 8800

Least Common Multiple of 55,11,800 with GCF Formula

Least Common Multiple of 55,11,800 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 55,11,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,11,800) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(55,11,800) x common factors =1 x 55 = 55

LCM(55,11,800) = ( 55 × 11 × 800 ) / 55

LCM(55,11,800) = 484000 / 55

LCM(55,11,800) = 8800


Lets's calculate GCF of 486,660,462

2 486, 660, 462
3 243, 330, 231
81, 110, 77

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8800/6

Therefore the LCM of Fractions 55/486,11/660,800/462 is 8800/6

Greatest Common Factor of 486,660,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,660,462 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 486,660,462 . The biggest common factor number is the GCF number.
So the greatest common factor 486,660,462 is 6.


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 55/486, 11/660, 800/462

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 55/486, 11/660, 800/462?

Answer: LCM of Numerators as per given numbers 55/486, 11/660, 800/462 is

LCM of Numerators i.e. for 55,11,800 is 8800

GCF of denominators i.e. for 486,660,462 is 6.

Thus, LCM of Fractions is 8800/6.Finally, LCM of Fractions for 55/486, 11/660, 800/462 is 8800/6.