Least Common Multiple of 3786/524, 6981/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3786/524, 6981/796 quickly i.e. 8810022/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3786/524, 6981/796 is 8810022/4.

LCM(3786/524, 6981/796) = 8810022/4

LCM of 3786/524, 6981/796

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 3786/524,6981/796

Given numbers are 3786/524,6981/796

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 3786,6981

Least Common Multiple of Numerators i.e. LCM of 3786,6981 is 8810022.

GCF of Denominators means GCF of 524,796 as per the given fractions.

GCF of 524,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3786,6981

LCM of Fractions 3786/524,6981/796 is 8810022/4

3 3786, 6981
1262, 2327

∴ So the LCM of the given numbers is 3 x 1262 x 2327 = 8810022

Least Common Multiple of 3786,6981 with GCF Formula

Least Common Multiple of 3786,6981 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 3786,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3786,6981) = 3

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

GCF(3786,6981) x common factors =3 x 1 = 3

LCM(3786,6981) = ( 3786 × 6981 ) / 3

LCM(3786,6981) = 26430066 / 3

LCM(3786,6981) = 8810022


Lets's calculate GCF of 524,796

2 524, 796
2 262, 398
131, 199

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8810022/4

Therefore the LCM of Fractions 3786/524,6981/796 is 8810022/4

Greatest Common Factor of 524,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,796 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 524,796 . The biggest common factor number is the GCF number.
So the greatest common factor 524,796 is 4.


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 3786/524, 6981/796

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 3786/524, 6981/796?

Answer: LCM of Numerators as per given numbers 3786/524, 6981/796 is

LCM of Numerators i.e. for 3786,6981 is 8810022

GCF of denominators i.e. for 524,796 is 4.

Thus, LCM of Fractions is 8810022/4.Finally, LCM of Fractions for 3786/524, 6981/796 is 8810022/4.