Least Common Multiple of 768/51, 129/23, 469/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/51, 129/23, 469/419 quickly i.e. 15488256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/51, 129/23, 469/419 is 15488256.

LCM(768/51, 129/23, 469/419) = 15488256

LCM of 768/51, 129/23, 469/419

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 768/51,129/23,469/419

Given numbers are 768/51,129/23,469/419

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 768,129,469

Least Common Multiple of Numerators i.e. LCM of 768,129,469 is 15488256.

GCF of Denominators means GCF of 51,23,419 as per the given fractions.

GCF of 51,23,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,129,469

LCM of Fractions 768/51,129/23,469/419 is 15488256

3 768, 129, 469
256, 43, 469

∴ So the LCM of the given numbers is 3 x 256 x 43 x 469 = 15488256

Least Common Multiple of 768,129,469 with GCF Formula

Least Common Multiple of 768,129,469 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 768,129,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,129,469) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(768,129,469) x common factors =1 x 3 = 3

LCM(768,129,469) = ( 768 × 129 × 469 ) / 3

LCM(768,129,469) = 46464768 / 3

LCM(768,129,469) = 15488256


Lets's calculate GCF of 51,23,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15488256/1

Therefore the LCM of Fractions 768/51,129/23,469/419 is 15488256

Greatest Common Factor of 51,23,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,23,419 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

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 51,23,419 . The biggest common factor number is the GCF number.
So the greatest common factor 51,23,419 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 768/51, 129/23, 469/419

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 768/51, 129/23, 469/419?

Answer: LCM of Numerators as per given numbers 768/51, 129/23, 469/419 is

LCM of Numerators i.e. for 768,129,469 is 15488256

GCF of denominators i.e. for 51,23,419 is 1.

Thus, LCM of Fractions is 15488256.Finally, LCM of Fractions for 768/51, 129/23, 469/419 is 15488256.