Least Common Multiple of 438/50, 699/32, 313/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/50, 699/32, 313/550 quickly i.e. 15971451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/50, 699/32, 313/550 is 15971451.

LCM(438/50, 699/32, 313/550) = 15971451

LCM of 438/50, 699/32, 313/550

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 438/50,699/32,313/550

Given numbers are 438/50,699/32,313/550

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 438,699,313

Least Common Multiple of Numerators i.e. LCM of 438,699,313 is 31942902.

GCF of Denominators means GCF of 50,32,550 as per the given fractions.

GCF of 50,32,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,699,313

LCM of Fractions 438/50,699/32,313/550 is 15971451

3 438, 699, 313
146, 233, 313

∴ So the LCM of the given numbers is 3 x 146 x 233 x 313 = 31942902

Least Common Multiple of 438,699,313 with GCF Formula

Least Common Multiple of 438,699,313 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 438,699,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,699,313) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(438,699,313) x common factors =1 x 3 = 3

LCM(438,699,313) = ( 438 × 699 × 313 ) / 3

LCM(438,699,313) = 95828706 / 3

LCM(438,699,313) = 31942902


Lets's calculate GCF of 50,32,550

2 50, 32, 550
25, 16, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31942902/2

Therefore the LCM of Fractions 438/50,699/32,313/550 is 15971451

Greatest Common Factor of 50,32,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,32,550 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 50,32,550 . The biggest common factor number is the GCF number.
So the greatest common factor 50,32,550 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 438/50, 699/32, 313/550

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 438/50, 699/32, 313/550?

Answer: LCM of Numerators as per given numbers 438/50, 699/32, 313/550 is

LCM of Numerators i.e. for 438,699,313 is 31942902

GCF of denominators i.e. for 50,32,550 is 2.

Thus, LCM of Fractions is 15971451.Finally, LCM of Fractions for 438/50, 699/32, 313/550 is 15971451.