Least Common Multiple of 6814/10, 1942/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6814/10, 1942/400 quickly i.e. 6616394/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6814/10, 1942/400 is 6616394/10.

LCM(6814/10, 1942/400) = 6616394/10

LCM of 6814/10, 1942/400

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 6814/10,1942/400

Given numbers are 6814/10,1942/400

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 6814,1942

Least Common Multiple of Numerators i.e. LCM of 6814,1942 is 6616394.

GCF of Denominators means GCF of 10,400 as per the given fractions.

GCF of 10,400 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6814,1942

LCM of Fractions 6814/10,1942/400 is 6616394/10

2 6814, 1942
3407, 971

∴ So the LCM of the given numbers is 2 x 3407 x 971 = 6616394

Least Common Multiple of 6814,1942 with GCF Formula

Least Common Multiple of 6814,1942 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 6814,1942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6814,1942) = 2

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

GCF(6814,1942) x common factors =2 x 1 = 2

LCM(6814,1942) = ( 6814 × 1942 ) / 2

LCM(6814,1942) = 13232788 / 2

LCM(6814,1942) = 6616394


Lets's calculate GCF of 10,400

2 10, 400
5 5, 200
1, 40

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6616394/10

Therefore the LCM of Fractions 6814/10,1942/400 is 6616394/10

Greatest Common Factor of 10,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,400 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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

Greatest Common Factor

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


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 6814/10, 1942/400

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 6814/10, 1942/400?

Answer: LCM of Numerators as per given numbers 6814/10, 1942/400 is

LCM of Numerators i.e. for 6814,1942 is 6616394

GCF of denominators i.e. for 10,400 is 10.

Thus, LCM of Fractions is 6616394/10.Finally, LCM of Fractions for 6814/10, 1942/400 is 6616394/10.