Least Common Multiple of 214/260, 7438/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/260, 7438/400 quickly i.e. 795866/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/260, 7438/400 is 795866/20.

LCM(214/260, 7438/400) = 795866/20

LCM of 214/260, 7438/400

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 214/260,7438/400

Given numbers are 214/260,7438/400

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 214,7438

Least Common Multiple of Numerators i.e. LCM of 214,7438 is 795866.

GCF of Denominators means GCF of 260,400 as per the given fractions.

GCF of 260,400 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,7438

LCM of Fractions 214/260,7438/400 is 795866/20

2 214, 7438
107, 3719

∴ So the LCM of the given numbers is 2 x 107 x 3719 = 795866

Least Common Multiple of 214,7438 with GCF Formula

Least Common Multiple of 214,7438 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 214,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,7438) = 2

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

GCF(214,7438) x common factors =2 x 1 = 2

LCM(214,7438) = ( 214 × 7438 ) / 2

LCM(214,7438) = 1591732 / 2

LCM(214,7438) = 795866


Lets's calculate GCF of 260,400

2 260, 400
2 130, 200
5 65, 100
13, 20

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 795866/20

Therefore the LCM of Fractions 214/260,7438/400 is 795866/20

Greatest Common Factor of 260,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,400 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

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 260,400 . The biggest common factor number is the GCF number.
So the greatest common factor 260,400 is 20.


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 214/260, 7438/400

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 214/260, 7438/400?

Answer: LCM of Numerators as per given numbers 214/260, 7438/400 is

LCM of Numerators i.e. for 214,7438 is 795866

GCF of denominators i.e. for 260,400 is 20.

Thus, LCM of Fractions is 795866/20.Finally, LCM of Fractions for 214/260, 7438/400 is 795866/20.