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LCM of 337, 551, 665, 551, 260

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


Find the LCM of 337, 551, 665, 551, 260 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, 551, 665, 551, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,551,665,551,260

Given numbers are 337,551,665,551,260

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

The LCM of 337,551,665,551,260 is 337950340.

Find LCM of 337,551,665,551,260 with Prime Factorization


5 337, 551, 665, 551, 260
19 337, 551, 133, 551, 52
29 337, 29, 7, 29, 52
337, 1, 7, 1, 52

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

5 x 19 x 29 x 337 x 1 x 7 x 1 x 52 = 337950340

Therefore, the lowest common multiple of 337,551,665,551,260 is 337950340.

LCM Formula to Find Lowest Common Multiple of 337,551,665,551,260

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 551 x 665 x 551 x 260 = 17690010547300

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

551 : 1, 19, 29, 551

665 : 1, 5, 7, 19, 35, 95, 133, 665

551 : 1, 19, 29, 551

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,551,665,551,260, is 1.

Now, the common factors can be found like this.

337:337

551:19x 29

665:5x 7x 19

551:19x 29

260:2x 2x 5x 13

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

5x 19x 19x 29 = 52345

Therefore, the value for common factors is 52345.

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 = 17690010547300/(1x52345)

LCM = 17690010547300/52345

LCM = 337950340

Thus, we can understand that the LCM of 337,551,665,551,260 is 337950340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 551, 665, 551, 260

1. What is the LCM of 337, 551, 665, 551, 260?

Answer: LCM of 337, 551, 665, 551, 260 is 337950340.

2. How to calculate the LCM of 337, 551, 665, 551, 260?

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, 551, 665, 551, 260.

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}.