Least Common Multiple of 3349/576, 9538/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3349/576, 9538/610 quickly i.e. 15971381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3349/576, 9538/610 is 15971381.

LCM(3349/576, 9538/610) = 15971381

LCM of 3349/576, 9538/610

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 3349/576,9538/610

Given numbers are 3349/576,9538/610

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 3349,9538

Least Common Multiple of Numerators i.e. LCM of 3349,9538 is 31942762.

GCF of Denominators means GCF of 576,610 as per the given fractions.

GCF of 576,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3349,9538

LCM of Fractions 3349/576,9538/610 is 15971381

Given numbers has no common factors except 1. So, there LCM is their product i.e 31942762

Least Common Multiple of 3349,9538 with GCF Formula

Least Common Multiple of 3349,9538 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 3349,9538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3349,9538) = 1

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

GCF(3349,9538) x common factors =1 x 1 = 1

LCM(3349,9538) = ( 3349 × 9538 ) / 1

LCM(3349,9538) = 31942762 / 1

LCM(3349,9538) = 31942762


Lets's calculate GCF of 576,610

2 576, 610
288, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31942762/2

Therefore the LCM of Fractions 3349/576,9538/610 is 15971381

Greatest Common Factor of 576,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,610 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 576,610 . The biggest common factor number is the GCF number.
So the greatest common factor 576,610 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 3349/576, 9538/610

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 3349/576, 9538/610?

Answer: LCM of Numerators as per given numbers 3349/576, 9538/610 is

LCM of Numerators i.e. for 3349,9538 is 31942762

GCF of denominators i.e. for 576,610 is 2.

Thus, LCM of Fractions is 15971381.Finally, LCM of Fractions for 3349/576, 9538/610 is 15971381.