Least Common Multiple of 76/419, 11/899, 288/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/419, 11/899, 288/713 quickly i.e. 60192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/419, 11/899, 288/713 is 60192.

LCM(76/419, 11/899, 288/713) = 60192

LCM of 76/419, 11/899, 288/713

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 76/419,11/899,288/713

Given numbers are 76/419,11/899,288/713

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 76,11,288

Least Common Multiple of Numerators i.e. LCM of 76,11,288 is 60192.

GCF of Denominators means GCF of 419,899,713 as per the given fractions.

GCF of 419,899,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,11,288

LCM of Fractions 76/419,11/899,288/713 is 60192

2 76, 11, 288
2 38, 11, 144
19, 11, 72

∴ So the LCM of the given numbers is 2 x 2 x 19 x 11 x 72 = 60192

Least Common Multiple of 76,11,288 with GCF Formula

Least Common Multiple of 76,11,288 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 76,11,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,11,288) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,11,288) x common factors =1 x 4 = 4

LCM(76,11,288) = ( 76 × 11 × 288 ) / 4

LCM(76,11,288) = 240768 / 4

LCM(76,11,288) = 60192


Lets's calculate GCF of 419,899,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60192/1

Therefore the LCM of Fractions 76/419,11/899,288/713 is 60192

Greatest Common Factor of 419,899,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,899,713 By Matching Biggest Common Factor Method

Factors of 419

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

1,419

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 419,899,713 . The biggest common factor number is the GCF number.
So the greatest common factor 419,899,713 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 76/419, 11/899, 288/713

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 76/419, 11/899, 288/713?

Answer: LCM of Numerators as per given numbers 76/419, 11/899, 288/713 is

LCM of Numerators i.e. for 76,11,288 is 60192

GCF of denominators i.e. for 419,899,713 is 1.

Thus, LCM of Fractions is 60192.Finally, LCM of Fractions for 76/419, 11/899, 288/713 is 60192.