Least Common Multiple of 51/55, 65/82, 669/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/55, 65/82, 669/90 quickly i.e. 739245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/55, 65/82, 669/90 is 739245.

LCM(51/55, 65/82, 669/90) = 739245

LCM of 51/55, 65/82, 669/90

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 51/55,65/82,669/90

Given numbers are 51/55,65/82,669/90

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 51,65,669

Least Common Multiple of Numerators i.e. LCM of 51,65,669 is 739245.

GCF of Denominators means GCF of 55,82,90 as per the given fractions.

GCF of 55,82,90 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,65,669

LCM of Fractions 51/55,65/82,669/90 is 739245

3 51, 65, 669
17, 65, 223

∴ So the LCM of the given numbers is 3 x 17 x 65 x 223 = 739245

Least Common Multiple of 51,65,669 with GCF Formula

Least Common Multiple of 51,65,669 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 51,65,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,65,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,65,669) x common factors =1 x 3 = 3

LCM(51,65,669) = ( 51 × 65 × 669 ) / 3

LCM(51,65,669) = 2217735 / 3

LCM(51,65,669) = 739245


Lets's calculate GCF of 55,82,90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739245/1

Therefore the LCM of Fractions 51/55,65/82,669/90 is 739245

Greatest Common Factor of 55,82,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,82,90 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 55,82,90 . The biggest common factor number is the GCF number.
So the greatest common factor 55,82,90 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/55, 65/82, 669/90

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 51/55, 65/82, 669/90?

Answer: LCM of Numerators as per given numbers 51/55, 65/82, 669/90 is

LCM of Numerators i.e. for 51,65,669 is 739245

GCF of denominators i.e. for 55,82,90 is 1.

Thus, LCM of Fractions is 739245.Finally, LCM of Fractions for 51/55, 65/82, 669/90 is 739245.