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LCM of 337, 354, 365, 506, 165

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 337, 354, 365, 506, 165 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 337, 354, 365, 506, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,354,365,506,165

Given numbers are 337,354,365,506,165

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 337,354,365,506,165 is 11016573810.

Find LCM of 337,354,365,506,165 with Prime Factorization


2 337, 354, 365, 506, 165
3 337, 177, 365, 253, 165
5 337, 59, 365, 253, 55
11 337, 59, 73, 253, 11
337, 59, 73, 23, 1

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 11 x 337 x 59 x 73 x 23 x 1 = 11016573810

Therefore, the lowest common multiple of 337,354,365,506,165 is 11016573810.

LCM Formula to Find Lowest Common Multiple of 337,354,365,506,165

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

337 x 354 x 365 x 506 x 165 = 3635469357300

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

337 : 1, 337

354 : 1, 2, 3, 6, 59, 118, 177, 354

365 : 1, 5, 73, 365

506 : 1, 2, 11, 22, 23, 46, 253, 506

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,354,365,506,165, is 1.

Now, the common factors can be found like this.

337:337

354:2x 3x 59

365:5x 73

506:2x 11x 23

165:3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 11 = 330

Therefore, the value for common factors is 330.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3635469357300/(1x330)

LCM = 3635469357300/330

LCM = 11016573810

Thus, we can understand that the LCM of 337,354,365,506,165 is 11016573810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 354, 365, 506, 165

1. What is the LCM of 337, 354, 365, 506, 165?

Answer: LCM of 337, 354, 365, 506, 165 is 11016573810.

2. How to calculate the LCM of 337, 354, 365, 506, 165?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 337, 354, 365, 506, 165.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.