Least Common Multiple of 50/13, 22/699, 448/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/13, 22/699, 448/686 quickly i.e. 123200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/13, 22/699, 448/686 is 123200.

LCM(50/13, 22/699, 448/686) = 123200

LCM of 50/13, 22/699, 448/686

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 50/13,22/699,448/686

Given numbers are 50/13,22/699,448/686

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 50,22,448

Least Common Multiple of Numerators i.e. LCM of 50,22,448 is 123200.

GCF of Denominators means GCF of 13,699,686 as per the given fractions.

GCF of 13,699,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,22,448

LCM of Fractions 50/13,22/699,448/686 is 123200

2 50, 22, 448
25, 11, 224

∴ So the LCM of the given numbers is 2 x 25 x 11 x 224 = 123200

Least Common Multiple of 50,22,448 with GCF Formula

Least Common Multiple of 50,22,448 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 50,22,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,22,448) = 2

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

GCF(50,22,448) x common factors =2 x 2 = 4

LCM(50,22,448) = ( 50 × 22 × 448 ) / 4

LCM(50,22,448) = 492800 / 4

LCM(50,22,448) = 123200


Lets's calculate GCF of 13,699,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123200/1

Therefore the LCM of Fractions 50/13,22/699,448/686 is 123200

Greatest Common Factor of 13,699,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,699,686 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 13,699,686 . The biggest common factor number is the GCF number.
So the greatest common factor 13,699,686 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 50/13, 22/699, 448/686

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 50/13, 22/699, 448/686?

Answer: LCM of Numerators as per given numbers 50/13, 22/699, 448/686 is

LCM of Numerators i.e. for 50,22,448 is 123200

GCF of denominators i.e. for 13,699,686 is 1.

Thus, LCM of Fractions is 123200.Finally, LCM of Fractions for 50/13, 22/699, 448/686 is 123200.