Least Common Multiple of 367/779, 3849/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/779, 3849/507 quickly i.e. 1412583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/779, 3849/507 is 1412583.

LCM(367/779, 3849/507) = 1412583

LCM of 367/779, 3849/507

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 367/779,3849/507

Given numbers are 367/779,3849/507

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 367,3849

Least Common Multiple of Numerators i.e. LCM of 367,3849 is 1412583.

GCF of Denominators means GCF of 779,507 as per the given fractions.

GCF of 779,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,3849

LCM of Fractions 367/779,3849/507 is 1412583

Given numbers has no common factors except 1. So, there LCM is their product i.e 1412583

Least Common Multiple of 367,3849 with GCF Formula

Least Common Multiple of 367,3849 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 367,3849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,3849) = 1

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

GCF(367,3849) x common factors =1 x 1 = 1

LCM(367,3849) = ( 367 × 3849 ) / 1

LCM(367,3849) = 1412583 / 1

LCM(367,3849) = 1412583


Lets's calculate GCF of 779,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412583/1

Therefore the LCM of Fractions 367/779,3849/507 is 1412583

Greatest Common Factor of 779,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,507 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 779,507 . The biggest common factor number is the GCF number.
So the greatest common factor 779,507 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 367/779, 3849/507

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 367/779, 3849/507?

Answer: LCM of Numerators as per given numbers 367/779, 3849/507 is

LCM of Numerators i.e. for 367,3849 is 1412583

GCF of denominators i.e. for 779,507 is 1.

Thus, LCM of Fractions is 1412583.Finally, LCM of Fractions for 367/779, 3849/507 is 1412583.