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LCM of 309, 391, 862, 531

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


Find the LCM of 309, 391, 862, 531 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, 391, 862, 531. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,391,862,531

Given numbers are 309,391,862,531

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

The LCM of 309,391,862,531 is 18433838106.

Find LCM of 309,391,862,531 with Prime Factorization


3 309, 391, 862, 531
103, 391, 862, 177

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

3 x 103 x 391 x 862 x 177 = 18433838106

Therefore, the lowest common multiple of 309,391,862,531 is 18433838106.

LCM Formula to Find Lowest Common Multiple of 309,391,862,531

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 391 x 862 x 531 = 55301514318

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

391 : 1, 17, 23, 391

862 : 1, 2, 431, 862

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,391,862,531, is 1.

Now, the common factors can be found like this.

309:3x 103

391:17x 23

862:2x 431

531:3x 3x 59

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

3 = 3

Therefore, the value for common factors is 3.

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 = 55301514318/(1x3)

LCM = 55301514318/3

LCM = 18433838106

Thus, we can understand that the LCM of 309,391,862,531 is 18433838106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 391, 862, 531

1. What is the LCM of 309, 391, 862, 531?

Answer: LCM of 309, 391, 862, 531 is 18433838106.

2. How to calculate the LCM of 309, 391, 862, 531?

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, 391, 862, 531.

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}.