Least Common Multiple of 788/17, 407/5050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/17, 407/5050 quickly i.e. 320716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/17, 407/5050 is 320716.

LCM(788/17, 407/5050) = 320716

LCM of 788/17, 407/5050

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 788/17,407/5050

Given numbers are 788/17,407/5050

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 788,407

Least Common Multiple of Numerators i.e. LCM of 788,407 is 320716.

GCF of Denominators means GCF of 17,5050 as per the given fractions.

GCF of 17,5050 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,407

LCM of Fractions 788/17,407/5050 is 320716

Given numbers has no common factors except 1. So, there LCM is their product i.e 320716

Least Common Multiple of 788,407 with GCF Formula

Least Common Multiple of 788,407 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 788,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,407) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(788,407) x common factors =1 x 1 = 1

LCM(788,407) = ( 788 × 407 ) / 1

LCM(788,407) = 320716 / 1

LCM(788,407) = 320716


Lets's calculate GCF of 17,5050

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320716/1

Therefore the LCM of Fractions 788/17,407/5050 is 320716

Greatest Common Factor of 17,5050 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,5050 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Greatest Common Factor

We found the factors 17,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5050 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 788/17, 407/5050

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 788/17, 407/5050?

Answer: LCM of Numerators as per given numbers 788/17, 407/5050 is

LCM of Numerators i.e. for 788,407 is 320716

GCF of denominators i.e. for 17,5050 is 1.

Thus, LCM of Fractions is 320716.Finally, LCM of Fractions for 788/17, 407/5050 is 320716.