Least Common Multiple of 765/19, 362/8101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/19, 362/8101 quickly i.e. 276930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/19, 362/8101 is 276930.

LCM(765/19, 362/8101) = 276930

LCM of 765/19, 362/8101

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 765/19,362/8101

Given numbers are 765/19,362/8101

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 765,362

Least Common Multiple of Numerators i.e. LCM of 765,362 is 276930.

GCF of Denominators means GCF of 19,8101 as per the given fractions.

GCF of 19,8101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,362

LCM of Fractions 765/19,362/8101 is 276930

Given numbers has no common factors except 1. So, there LCM is their product i.e 276930

Least Common Multiple of 765,362 with GCF Formula

Least Common Multiple of 765,362 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 765,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,362) = 1

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

GCF(765,362) x common factors =1 x 1 = 1

LCM(765,362) = ( 765 × 362 ) / 1

LCM(765,362) = 276930 / 1

LCM(765,362) = 276930


Lets's calculate GCF of 19,8101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276930/1

Therefore the LCM of Fractions 765/19,362/8101 is 276930

Greatest Common Factor of 19,8101 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,8101 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 8101

List of positive integer factors of 8101 that divides 8101 without a remainder.

1,8101

Greatest Common Factor

We found the factors 19,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 19,8101 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 765/19, 362/8101

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 765/19, 362/8101?

Answer: LCM of Numerators as per given numbers 765/19, 362/8101 is

LCM of Numerators i.e. for 765,362 is 276930

GCF of denominators i.e. for 19,8101 is 1.

Thus, LCM of Fractions is 276930.Finally, LCM of Fractions for 765/19, 362/8101 is 276930.