Least Common Multiple of 11/450, 58/124, 730/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/450, 58/124, 730/231 quickly i.e. 232870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/450, 58/124, 730/231 is 232870.

LCM(11/450, 58/124, 730/231) = 232870

LCM of 11/450, 58/124, 730/231

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 11/450,58/124,730/231

Given numbers are 11/450,58/124,730/231

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 11,58,730

Least Common Multiple of Numerators i.e. LCM of 11,58,730 is 232870.

GCF of Denominators means GCF of 450,124,231 as per the given fractions.

GCF of 450,124,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,58,730

LCM of Fractions 11/450,58/124,730/231 is 232870

2 11, 58, 730
11, 29, 365

∴ So the LCM of the given numbers is 2 x 11 x 29 x 365 = 232870

Least Common Multiple of 11,58,730 with GCF Formula

Least Common Multiple of 11,58,730 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 11,58,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,58,730) = 1

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

GCF(11,58,730) x common factors =1 x 2 = 2

LCM(11,58,730) = ( 11 × 58 × 730 ) / 2

LCM(11,58,730) = 465740 / 2

LCM(11,58,730) = 232870


Lets's calculate GCF of 450,124,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232870/1

Therefore the LCM of Fractions 11/450,58/124,730/231 is 232870

Greatest Common Factor of 450,124,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,124,231 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 450,124,231 . The biggest common factor number is the GCF number.
So the greatest common factor 450,124,231 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 11/450, 58/124, 730/231

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 11/450, 58/124, 730/231?

Answer: LCM of Numerators as per given numbers 11/450, 58/124, 730/231 is

LCM of Numerators i.e. for 11,58,730 is 232870

GCF of denominators i.e. for 450,124,231 is 1.

Thus, LCM of Fractions is 232870.Finally, LCM of Fractions for 11/450, 58/124, 730/231 is 232870.