Least Common Multiple of 998/848, 697/829, 533/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 998/848, 697/829, 533/522 quickly i.e. 9042878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/848, 697/829, 533/522 is 9042878.

LCM(998/848, 697/829, 533/522) = 9042878

LCM of 998/848, 697/829, 533/522

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 998/848,697/829,533/522

Given numbers are 998/848,697/829,533/522

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 998,697,533

Least Common Multiple of Numerators i.e. LCM of 998,697,533 is 9042878.

GCF of Denominators means GCF of 848,829,522 as per the given fractions.

GCF of 848,829,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,697,533

LCM of Fractions 998/848,697/829,533/522 is 9042878

41 998, 697, 533
998, 17, 13

∴ So the LCM of the given numbers is 41 x 998 x 17 x 13 = 9042878

Least Common Multiple of 998,697,533 with GCF Formula

Least Common Multiple of 998,697,533 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 998,697,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,697,533) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(998,697,533) x common factors =1 x 41 = 41

LCM(998,697,533) = ( 998 × 697 × 533 ) / 41

LCM(998,697,533) = 370757998 / 41

LCM(998,697,533) = 9042878


Lets's calculate GCF of 848,829,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9042878/1

Therefore the LCM of Fractions 998/848,697/829,533/522 is 9042878

Greatest Common Factor of 848,829,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,829,522 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 848,829,522 . The biggest common factor number is the GCF number.
So the greatest common factor 848,829,522 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 998/848, 697/829, 533/522

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 998/848, 697/829, 533/522?

Answer: LCM of Numerators as per given numbers 998/848, 697/829, 533/522 is

LCM of Numerators i.e. for 998,697,533 is 9042878

GCF of denominators i.e. for 848,829,522 is 1.

Thus, LCM of Fractions is 9042878.Finally, LCM of Fractions for 998/848, 697/829, 533/522 is 9042878.