Least Common Multiple of 513/109, 744/442, 692/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/109, 744/442, 692/522 quickly i.e. 22009752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/109, 744/442, 692/522 is 22009752.

LCM(513/109, 744/442, 692/522) = 22009752

LCM of 513/109, 744/442, 692/522

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 513/109,744/442,692/522

Given numbers are 513/109,744/442,692/522

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 513,744,692

Least Common Multiple of Numerators i.e. LCM of 513,744,692 is 22009752.

GCF of Denominators means GCF of 109,442,522 as per the given fractions.

GCF of 109,442,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,744,692

LCM of Fractions 513/109,744/442,692/522 is 22009752

2 513, 744, 692
2 513, 372, 346
3 513, 186, 173
171, 62, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 171 x 62 x 173 = 22009752

Least Common Multiple of 513,744,692 with GCF Formula

Least Common Multiple of 513,744,692 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 513,744,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,744,692) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(513,744,692) x common factors =1 x 12 = 12

LCM(513,744,692) = ( 513 × 744 × 692 ) / 12

LCM(513,744,692) = 264117024 / 12

LCM(513,744,692) = 22009752


Lets's calculate GCF of 109,442,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22009752/1

Therefore the LCM of Fractions 513/109,744/442,692/522 is 22009752

Greatest Common Factor of 109,442,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,442,522 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

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 109,442,522 . The biggest common factor number is the GCF number.
So the greatest common factor 109,442,522 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 513/109, 744/442, 692/522

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 513/109, 744/442, 692/522?

Answer: LCM of Numerators as per given numbers 513/109, 744/442, 692/522 is

LCM of Numerators i.e. for 513,744,692 is 22009752

GCF of denominators i.e. for 109,442,522 is 1.

Thus, LCM of Fractions is 22009752.Finally, LCM of Fractions for 513/109, 744/442, 692/522 is 22009752.