Least Common Multiple of 53/677, 15/794, 392/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/677, 15/794, 392/419 quickly i.e. 311640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/677, 15/794, 392/419 is 311640.

LCM(53/677, 15/794, 392/419) = 311640

LCM of 53/677, 15/794, 392/419

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 53/677,15/794,392/419

Given numbers are 53/677,15/794,392/419

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 53,15,392

Least Common Multiple of Numerators i.e. LCM of 53,15,392 is 311640.

GCF of Denominators means GCF of 677,794,419 as per the given fractions.

GCF of 677,794,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,15,392

LCM of Fractions 53/677,15/794,392/419 is 311640

Given numbers has no common factors except 1. So, there LCM is their product i.e 311640

Least Common Multiple of 53,15,392 with GCF Formula

Least Common Multiple of 53,15,392 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 53,15,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,15,392) = 1

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

GCF(53,15,392) x common factors =1 x 1 = 1

LCM(53,15,392) = ( 53 × 15 × 392 ) / 1

LCM(53,15,392) = 311640 / 1

LCM(53,15,392) = 311640


Lets's calculate GCF of 677,794,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311640/1

Therefore the LCM of Fractions 53/677,15/794,392/419 is 311640

Greatest Common Factor of 677,794,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,794,419 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 677,794,419 . The biggest common factor number is the GCF number.
So the greatest common factor 677,794,419 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 53/677, 15/794, 392/419

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 53/677, 15/794, 392/419?

Answer: LCM of Numerators as per given numbers 53/677, 15/794, 392/419 is

LCM of Numerators i.e. for 53,15,392 is 311640

GCF of denominators i.e. for 677,794,419 is 1.

Thus, LCM of Fractions is 311640.Finally, LCM of Fractions for 53/677, 15/794, 392/419 is 311640.