Least Common Multiple of 58/462, 66/233, 649/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/462, 66/233, 649/880 quickly i.e. 112926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/462, 66/233, 649/880 is 112926.

LCM(58/462, 66/233, 649/880) = 112926

LCM of 58/462, 66/233, 649/880

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 58/462,66/233,649/880

Given numbers are 58/462,66/233,649/880

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 58,66,649

Least Common Multiple of Numerators i.e. LCM of 58,66,649 is 112926.

GCF of Denominators means GCF of 462,233,880 as per the given fractions.

GCF of 462,233,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,66,649

LCM of Fractions 58/462,66/233,649/880 is 112926

2 58, 66, 649
11 29, 33, 649
29, 3, 59

∴ So the LCM of the given numbers is 2 x 11 x 29 x 3 x 59 = 112926

Least Common Multiple of 58,66,649 with GCF Formula

Least Common Multiple of 58,66,649 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 58,66,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,66,649) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(58,66,649) x common factors =1 x 22 = 22

LCM(58,66,649) = ( 58 × 66 × 649 ) / 22

LCM(58,66,649) = 2484372 / 22

LCM(58,66,649) = 112926


Lets's calculate GCF of 462,233,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112926/1

Therefore the LCM of Fractions 58/462,66/233,649/880 is 112926

Greatest Common Factor of 462,233,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,233,880 By Matching Biggest Common Factor Method

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

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 462,233,880 . The biggest common factor number is the GCF number.
So the greatest common factor 462,233,880 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 58/462, 66/233, 649/880

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 58/462, 66/233, 649/880?

Answer: LCM of Numerators as per given numbers 58/462, 66/233, 649/880 is

LCM of Numerators i.e. for 58,66,649 is 112926

GCF of denominators i.e. for 462,233,880 is 1.

Thus, LCM of Fractions is 112926.Finally, LCM of Fractions for 58/462, 66/233, 649/880 is 112926.