Least Common Multiple of 426/83, 768/9017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/83, 768/9017 quickly i.e. 54528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/83, 768/9017 is 54528.

LCM(426/83, 768/9017) = 54528

LCM of 426/83, 768/9017

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 426/83,768/9017

Given numbers are 426/83,768/9017

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 426,768

Least Common Multiple of Numerators i.e. LCM of 426,768 is 54528.

GCF of Denominators means GCF of 83,9017 as per the given fractions.

GCF of 83,9017 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,768

LCM of Fractions 426/83,768/9017 is 54528

2 426, 768
3 213, 384
71, 128

∴ So the LCM of the given numbers is 2 x 3 x 71 x 128 = 54528

Least Common Multiple of 426,768 with GCF Formula

Least Common Multiple of 426,768 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 426,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,768) = 6

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

GCF(426,768) x common factors =6 x 1 = 6

LCM(426,768) = ( 426 × 768 ) / 6

LCM(426,768) = 327168 / 6

LCM(426,768) = 54528


Lets's calculate GCF of 83,9017

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54528/1

Therefore the LCM of Fractions 426/83,768/9017 is 54528

Greatest Common Factor of 83,9017 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,9017 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 9017

List of positive integer factors of 9017 that divides 9017 without a remainder.

1,71,127,9017

Greatest Common Factor

We found the factors 83,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 83,9017 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 426/83, 768/9017

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 426/83, 768/9017?

Answer: LCM of Numerators as per given numbers 426/83, 768/9017 is

LCM of Numerators i.e. for 426,768 is 54528

GCF of denominators i.e. for 83,9017 is 1.

Thus, LCM of Fractions is 54528.Finally, LCM of Fractions for 426/83, 768/9017 is 54528.