Least Common Multiple of 7814/769, 3726/8432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7814/769, 3726/8432 quickly i.e. 14557482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7814/769, 3726/8432 is 14557482.

LCM(7814/769, 3726/8432) = 14557482

LCM of 7814/769, 3726/8432

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 7814/769,3726/8432

Given numbers are 7814/769,3726/8432

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 7814,3726

Least Common Multiple of Numerators i.e. LCM of 7814,3726 is 14557482.

GCF of Denominators means GCF of 769,8432 as per the given fractions.

GCF of 769,8432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7814,3726

LCM of Fractions 7814/769,3726/8432 is 14557482

2 7814, 3726
3907, 1863

∴ So the LCM of the given numbers is 2 x 3907 x 1863 = 14557482

Least Common Multiple of 7814,3726 with GCF Formula

Least Common Multiple of 7814,3726 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 7814,3726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7814,3726) = 2

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

GCF(7814,3726) x common factors =2 x 1 = 2

LCM(7814,3726) = ( 7814 × 3726 ) / 2

LCM(7814,3726) = 29114964 / 2

LCM(7814,3726) = 14557482


Lets's calculate GCF of 769,8432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14557482/1

Therefore the LCM of Fractions 7814/769,3726/8432 is 14557482

Greatest Common Factor of 769,8432 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,8432 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Greatest Common Factor

We found the factors 769,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 769,8432 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 7814/769, 3726/8432

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 7814/769, 3726/8432?

Answer: LCM of Numerators as per given numbers 7814/769, 3726/8432 is

LCM of Numerators i.e. for 7814,3726 is 14557482

GCF of denominators i.e. for 769,8432 is 1.

Thus, LCM of Fractions is 14557482.Finally, LCM of Fractions for 7814/769, 3726/8432 is 14557482.