Least Common Multiple of 43/214, 50/634, 230/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/214, 50/634, 230/480 quickly i.e. 24725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/214, 50/634, 230/480 is 24725.

LCM(43/214, 50/634, 230/480) = 24725

LCM of 43/214, 50/634, 230/480

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 43/214,50/634,230/480

Given numbers are 43/214,50/634,230/480

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 43,50,230

Least Common Multiple of Numerators i.e. LCM of 43,50,230 is 49450.

GCF of Denominators means GCF of 214,634,480 as per the given fractions.

GCF of 214,634,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,50,230

LCM of Fractions 43/214,50/634,230/480 is 24725

2 43, 50, 230
5 43, 25, 115
43, 5, 23

∴ So the LCM of the given numbers is 2 x 5 x 43 x 5 x 23 = 49450

Least Common Multiple of 43,50,230 with GCF Formula

Least Common Multiple of 43,50,230 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 43,50,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,50,230) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(43,50,230) x common factors =1 x 10 = 10

LCM(43,50,230) = ( 43 × 50 × 230 ) / 10

LCM(43,50,230) = 494500 / 10

LCM(43,50,230) = 49450


Lets's calculate GCF of 214,634,480

2 214, 634, 480
107, 317, 240

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49450/2

Therefore the LCM of Fractions 43/214,50/634,230/480 is 24725

Greatest Common Factor of 214,634,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,634,480 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 214,634,480 . The biggest common factor number is the GCF number.
So the greatest common factor 214,634,480 is 2.


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 43/214, 50/634, 230/480

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 43/214, 50/634, 230/480?

Answer: LCM of Numerators as per given numbers 43/214, 50/634, 230/480 is

LCM of Numerators i.e. for 43,50,230 is 49450

GCF of denominators i.e. for 214,634,480 is 2.

Thus, LCM of Fractions is 24725.Finally, LCM of Fractions for 43/214, 50/634, 230/480 is 24725.