Least Common Multiple of 49/16, 65/17, 11/29, 81/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/16, 65/17, 11/29, 81/638 quickly i.e. 2837835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/16, 65/17, 11/29, 81/638 is 2837835.

LCM(49/16, 65/17, 11/29, 81/638) = 2837835

LCM of 49/16, 65/17, 11/29, 81/638

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 49/16,65/17,11/29,81/638

Given numbers are 49/16,65/17,11/29,81/638

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 49,65,11,81

Least Common Multiple of Numerators i.e. LCM of 49,65,11,81 is 2837835.

GCF of Denominators means GCF of 16,17,29,638 as per the given fractions.

GCF of 16,17,29,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,65,11,81

LCM of Fractions 49/16,65/17,11/29,81/638 is 2837835

Given numbers has no common factors except 1. So, there LCM is their product i.e 2837835

Least Common Multiple of 49,65,11,81 with GCF Formula

Least Common Multiple of 49,65,11,81 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 49,65,11,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,65,11,81) = 1

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

GCF(49,65,11,81) x common factors =1 x 1 = 1

LCM(49,65,11,81) = ( 49 × 65 × 11 × 81 ) / 1

LCM(49,65,11,81) = 2837835 / 1

LCM(49,65,11,81) = 2837835


Lets's calculate GCF of 16,17,29,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2837835/1

Therefore the LCM of Fractions 49/16,65/17,11/29,81/638 is 2837835

Greatest Common Factor of 16,17,29,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,17,29,638 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 16,17,29,638 . The biggest common factor number is the GCF number.
So the greatest common factor 16,17,29,638 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/16, 65/17, 11/29, 81/638

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 49/16, 65/17, 11/29, 81/638?

Answer: LCM of Numerators as per given numbers 49/16, 65/17, 11/29, 81/638 is

LCM of Numerators i.e. for 49,65,11,81 is 2837835

GCF of denominators i.e. for 16,17,29,638 is 1.

Thus, LCM of Fractions is 2837835.Finally, LCM of Fractions for 49/16, 65/17, 11/29, 81/638 is 2837835.