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LCM of 309, 865, 551, 283, 290

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


Find the LCM of 309, 865, 551, 283, 290 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 309, 865, 551, 283, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,865,551,283,290

Given numbers are 309,865,551,283,290

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

The LCM of 309,865,551,283,290 is 83357103810.

Find LCM of 309,865,551,283,290 with Prime Factorization


5 309, 865, 551, 283, 290
29 309, 173, 551, 283, 58
309, 173, 19, 283, 2

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

5 x 29 x 309 x 173 x 19 x 283 x 2 = 83357103810

Therefore, the lowest common multiple of 309,865,551,283,290 is 83357103810.

LCM Formula to Find Lowest Common Multiple of 309,865,551,283,290

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.

309 x 865 x 551 x 283 x 290 = 12086780052450

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.

309 : 1, 3, 103, 309

865 : 1, 5, 173, 865

551 : 1, 19, 29, 551

283 : 1, 283

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,865,551,283,290, is 1.

Now, the common factors can be found like this.

309:3x 103

865:5x 173

551:19x 29

283:283

290:2x 5x 29

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

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 12086780052450/(1x145)

LCM = 12086780052450/145

LCM = 83357103810

Thus, we can understand that the LCM of 309,865,551,283,290 is 83357103810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 865, 551, 283, 290

1. What is the LCM of 309, 865, 551, 283, 290?

Answer: LCM of 309, 865, 551, 283, 290 is 83357103810.

2. How to calculate the LCM of 309, 865, 551, 283, 290?

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 309, 865, 551, 283, 290.

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}.