Least Common Multiple of 64/259, 98/344, 913/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/259, 98/344, 913/733 quickly i.e. 2863168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/259, 98/344, 913/733 is 2863168.

LCM(64/259, 98/344, 913/733) = 2863168

LCM of 64/259, 98/344, 913/733

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 64/259,98/344,913/733

Given numbers are 64/259,98/344,913/733

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 64,98,913

Least Common Multiple of Numerators i.e. LCM of 64,98,913 is 2863168.

GCF of Denominators means GCF of 259,344,733 as per the given fractions.

GCF of 259,344,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,98,913

LCM of Fractions 64/259,98/344,913/733 is 2863168

2 64, 98, 913
32, 49, 913

∴ So the LCM of the given numbers is 2 x 32 x 49 x 913 = 2863168

Least Common Multiple of 64,98,913 with GCF Formula

Least Common Multiple of 64,98,913 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 64,98,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,98,913) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,98,913) x common factors =1 x 2 = 2

LCM(64,98,913) = ( 64 × 98 × 913 ) / 2

LCM(64,98,913) = 5726336 / 2

LCM(64,98,913) = 2863168


Lets's calculate GCF of 259,344,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2863168/1

Therefore the LCM of Fractions 64/259,98/344,913/733 is 2863168

Greatest Common Factor of 259,344,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,344,733 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 259,344,733 . The biggest common factor number is the GCF number.
So the greatest common factor 259,344,733 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/259, 98/344, 913/733

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 64/259, 98/344, 913/733?

Answer: LCM of Numerators as per given numbers 64/259, 98/344, 913/733 is

LCM of Numerators i.e. for 64,98,913 is 2863168

GCF of denominators i.e. for 259,344,733 is 1.

Thus, LCM of Fractions is 2863168.Finally, LCM of Fractions for 64/259, 98/344, 913/733 is 2863168.