Least Common Multiple of 50/13, 75/49, 32/80, 407/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/13, 75/49, 32/80, 407/42 quickly i.e. 976800 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, 75/49, 32/80, 407/42 is 976800.

LCM(50/13, 75/49, 32/80, 407/42) = 976800

LCM of 50/13, 75/49, 32/80, 407/42

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 50/13,75/49,32/80,407/42

Given numbers are 50/13,75/49,32/80,407/42

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 50,75,32,407

Least Common Multiple of Numerators i.e. LCM of 50,75,32,407 is 976800.

GCF of Denominators means GCF of 13,49,80,42 as per the given fractions.

GCF of 13,49,80,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,75,32,407

LCM of Fractions 50/13,75/49,32/80,407/42 is 976800

2 50, 75, 32, 407
5 25, 75, 16, 407
5 5, 15, 16, 407
1, 3, 16, 407

∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 3 x 16 x 407 = 976800

Least Common Multiple of 50,75,32,407 with GCF Formula

Least Common Multiple of 50,75,32,407 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 50,75,32,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,75,32,407) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(50,75,32,407) x common factors =1 x 50 = 50

LCM(50,75,32,407) = ( 50 × 75 × 32 × 407 ) / 50

LCM(50,75,32,407) = 48840000 / 50

LCM(50,75,32,407) = 976800


Lets's calculate GCF of 13,49,80,42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976800/1

Therefore the LCM of Fractions 50/13,75/49,32/80,407/42 is 976800

Greatest Common Factor of 13,49,80,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,49,80,42 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 13,49,80,42 . The biggest common factor number is the GCF number.
So the greatest common factor 13,49,80,42 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, 75/49, 32/80, 407/42

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, 75/49, 32/80, 407/42?

Answer: LCM of Numerators as per given numbers 50/13, 75/49, 32/80, 407/42 is

LCM of Numerators i.e. for 50,75,32,407 is 976800

GCF of denominators i.e. for 13,49,80,42 is 1.

Thus, LCM of Fractions is 976800.Finally, LCM of Fractions for 50/13, 75/49, 32/80, 407/42 is 976800.