Least Common Multiple of 522/34, 498/1762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/34, 498/1762 quickly i.e. 21663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/34, 498/1762 is 21663.

LCM(522/34, 498/1762) = 21663

LCM of 522/34, 498/1762

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 522/34,498/1762

Given numbers are 522/34,498/1762

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 522,498

Least Common Multiple of Numerators i.e. LCM of 522,498 is 43326.

GCF of Denominators means GCF of 34,1762 as per the given fractions.

GCF of 34,1762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,498

LCM of Fractions 522/34,498/1762 is 21663

2 522, 498
3 261, 249
87, 83

∴ So the LCM of the given numbers is 2 x 3 x 87 x 83 = 43326

Least Common Multiple of 522,498 with GCF Formula

Least Common Multiple of 522,498 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 522,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,498) = 6

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

GCF(522,498) x common factors =6 x 1 = 6

LCM(522,498) = ( 522 × 498 ) / 6

LCM(522,498) = 259956 / 6

LCM(522,498) = 43326


Lets's calculate GCF of 34,1762

2 34, 1762
17, 881

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43326/2

Therefore the LCM of Fractions 522/34,498/1762 is 21663

Greatest Common Factor of 34,1762 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,1762 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 1762

List of positive integer factors of 1762 that divides 1762 without a remainder.

1,2,881,1762

Greatest Common Factor

We found the factors 34,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1762 is 2.


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 522/34, 498/1762

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 522/34, 498/1762?

Answer: LCM of Numerators as per given numbers 522/34, 498/1762 is

LCM of Numerators i.e. for 522,498 is 43326

GCF of denominators i.e. for 34,1762 is 2.

Thus, LCM of Fractions is 21663.Finally, LCM of Fractions for 522/34, 498/1762 is 21663.