Least Common Multiple of 7462/768, 5326/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7462/768, 5326/880 quickly i.e. 19871306/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7462/768, 5326/880 is 19871306/16.

LCM(7462/768, 5326/880) = 19871306/16

LCM of 7462/768, 5326/880

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 7462/768,5326/880

Given numbers are 7462/768,5326/880

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 7462,5326

Least Common Multiple of Numerators i.e. LCM of 7462,5326 is 19871306.

GCF of Denominators means GCF of 768,880 as per the given fractions.

GCF of 768,880 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7462,5326

LCM of Fractions 7462/768,5326/880 is 19871306/16

2 7462, 5326
3731, 2663

∴ So the LCM of the given numbers is 2 x 3731 x 2663 = 19871306

Least Common Multiple of 7462,5326 with GCF Formula

Least Common Multiple of 7462,5326 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 7462,5326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7462,5326) = 2

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

GCF(7462,5326) x common factors =2 x 1 = 2

LCM(7462,5326) = ( 7462 × 5326 ) / 2

LCM(7462,5326) = 39742612 / 2

LCM(7462,5326) = 19871306


Lets's calculate GCF of 768,880

2 768, 880
2 384, 440
2 192, 220
2 96, 110
48, 55

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19871306/16

Therefore the LCM of Fractions 7462/768,5326/880 is 19871306/16

Greatest Common Factor of 768,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,880 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 768,880 . The biggest common factor number is the GCF number.
So the greatest common factor 768,880 is 16.


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 7462/768, 5326/880

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 7462/768, 5326/880?

Answer: LCM of Numerators as per given numbers 7462/768, 5326/880 is

LCM of Numerators i.e. for 7462,5326 is 19871306

GCF of denominators i.e. for 768,880 is 16.

Thus, LCM of Fractions is 19871306/16.Finally, LCM of Fractions for 7462/768, 5326/880 is 19871306/16.