Least Common Multiple of 10/400, 7689/6417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/400, 7689/6417 quickly i.e. 76890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/400, 7689/6417 is 76890.

LCM(10/400, 7689/6417) = 76890

LCM of 10/400, 7689/6417

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 10/400,7689/6417

Given numbers are 10/400,7689/6417

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 10,7689

Least Common Multiple of Numerators i.e. LCM of 10,7689 is 76890.

GCF of Denominators means GCF of 400,6417 as per the given fractions.

GCF of 400,6417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,7689

LCM of Fractions 10/400,7689/6417 is 76890

Given numbers has no common factors except 1. So, there LCM is their product i.e 76890

Least Common Multiple of 10,7689 with GCF Formula

Least Common Multiple of 10,7689 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 10,7689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,7689) = 1

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

GCF(10,7689) x common factors =1 x 1 = 1

LCM(10,7689) = ( 10 × 7689 ) / 1

LCM(10,7689) = 76890 / 1

LCM(10,7689) = 76890


Lets's calculate GCF of 400,6417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76890/1

Therefore the LCM of Fractions 10/400,7689/6417 is 76890

Greatest Common Factor of 400,6417 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,6417 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1,3,9,23,31,69,93,207,279,713,2139,6417

Greatest Common Factor

We found the factors 400,6417 . The biggest common factor number is the GCF number.
So the greatest common factor 400,6417 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 10/400, 7689/6417

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 10/400, 7689/6417?

Answer: LCM of Numerators as per given numbers 10/400, 7689/6417 is

LCM of Numerators i.e. for 10,7689 is 76890

GCF of denominators i.e. for 400,6417 is 1.

Thus, LCM of Fractions is 76890.Finally, LCM of Fractions for 10/400, 7689/6417 is 76890.