Least Common Multiple of 1349/65, 4437/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1349/65, 4437/351 quickly i.e. 5985513/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1349/65, 4437/351 is 5985513/13.

LCM(1349/65, 4437/351) = 5985513/13

LCM of 1349/65, 4437/351

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 1349/65,4437/351

Given numbers are 1349/65,4437/351

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 1349,4437

Least Common Multiple of Numerators i.e. LCM of 1349,4437 is 5985513.

GCF of Denominators means GCF of 65,351 as per the given fractions.

GCF of 65,351 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1349,4437

LCM of Fractions 1349/65,4437/351 is 5985513/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 5985513

Least Common Multiple of 1349,4437 with GCF Formula

Least Common Multiple of 1349,4437 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 1349,4437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1349,4437) = 1

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

GCF(1349,4437) x common factors =1 x 1 = 1

LCM(1349,4437) = ( 1349 × 4437 ) / 1

LCM(1349,4437) = 5985513 / 1

LCM(1349,4437) = 5985513


Lets's calculate GCF of 65,351

13 65, 351
5, 27

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5985513/13

Therefore the LCM of Fractions 1349/65,4437/351 is 5985513/13

Greatest Common Factor of 65,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,351 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 65,351 . The biggest common factor number is the GCF number.
So the greatest common factor 65,351 is 13.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1349/65, 4437/351

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 1349/65, 4437/351?

Answer: LCM of Numerators as per given numbers 1349/65, 4437/351 is

LCM of Numerators i.e. for 1349,4437 is 5985513

GCF of denominators i.e. for 65,351 is 13.

Thus, LCM of Fractions is 5985513/13.Finally, LCM of Fractions for 1349/65, 4437/351 is 5985513/13.