Least Common Multiple of 65/549, 5212/3655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/549, 5212/3655 quickly i.e. 338780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/549, 5212/3655 is 338780.

LCM(65/549, 5212/3655) = 338780

LCM of 65/549, 5212/3655

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 65/549,5212/3655

Given numbers are 65/549,5212/3655

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 65,5212

Least Common Multiple of Numerators i.e. LCM of 65,5212 is 338780.

GCF of Denominators means GCF of 549,3655 as per the given fractions.

GCF of 549,3655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,5212

LCM of Fractions 65/549,5212/3655 is 338780

Given numbers has no common factors except 1. So, there LCM is their product i.e 338780

Least Common Multiple of 65,5212 with GCF Formula

Least Common Multiple of 65,5212 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 65,5212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,5212) = 1

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

GCF(65,5212) x common factors =1 x 1 = 1

LCM(65,5212) = ( 65 × 5212 ) / 1

LCM(65,5212) = 338780 / 1

LCM(65,5212) = 338780


Lets's calculate GCF of 549,3655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338780/1

Therefore the LCM of Fractions 65/549,5212/3655 is 338780

Greatest Common Factor of 549,3655 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,3655 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 3655

List of positive integer factors of 3655 that divides 3655 without a remainder.

1,5,17,43,85,215,731,3655

Greatest Common Factor

We found the factors 549,3655 . The biggest common factor number is the GCF number.
So the greatest common factor 549,3655 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/549, 5212/3655

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 65/549, 5212/3655?

Answer: LCM of Numerators as per given numbers 65/549, 5212/3655 is

LCM of Numerators i.e. for 65,5212 is 338780

GCF of denominators i.e. for 549,3655 is 1.

Thus, LCM of Fractions is 338780.Finally, LCM of Fractions for 65/549, 5212/3655 is 338780.