Least Common Multiple of 26/762, 3436/4000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/762, 3436/4000 quickly i.e. 22334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/762, 3436/4000 is 22334.

LCM(26/762, 3436/4000) = 22334

LCM of 26/762, 3436/4000

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 26/762,3436/4000

Given numbers are 26/762,3436/4000

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 26,3436

Least Common Multiple of Numerators i.e. LCM of 26,3436 is 44668.

GCF of Denominators means GCF of 762,4000 as per the given fractions.

GCF of 762,4000 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,3436

LCM of Fractions 26/762,3436/4000 is 22334

2 26, 3436
13, 1718

∴ So the LCM of the given numbers is 2 x 13 x 1718 = 44668

Least Common Multiple of 26,3436 with GCF Formula

Least Common Multiple of 26,3436 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 26,3436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,3436) = 2

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

GCF(26,3436) x common factors =2 x 1 = 2

LCM(26,3436) = ( 26 × 3436 ) / 2

LCM(26,3436) = 89336 / 2

LCM(26,3436) = 44668


Lets's calculate GCF of 762,4000

2 762, 4000
381, 2000

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44668/2

Therefore the LCM of Fractions 26/762,3436/4000 is 22334

Greatest Common Factor of 762,4000 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,4000 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000

Greatest Common Factor

We found the factors 762,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 762,4000 is 2.


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 26/762, 3436/4000

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 26/762, 3436/4000?

Answer: LCM of Numerators as per given numbers 26/762, 3436/4000 is

LCM of Numerators i.e. for 26,3436 is 44668

GCF of denominators i.e. for 762,4000 is 2.

Thus, LCM of Fractions is 22334.Finally, LCM of Fractions for 26/762, 3436/4000 is 22334.