Given numbers are 509,897,397,914,364

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

The LCM of 509,897,397,914,364 is 2319396318876.

Find LCM of 509,897,397,914,364 with Prime Factorization

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

2 x 13 x 509 x 69 x 397 x 457 x 14 = 2319396318876

Therefore, the lowest common multiple of 509,897,397,914,364 is 2319396318876.

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.

509 x 897 x 397 x 914 x 364 = 60304304290776

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.

509 : 1, 509

897 : 1, 3, 13, 23, 39, 69, 299, 897

397 : 1, 397

914 : 1, 2, 457, 914

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,897,397,914,364, is 1.

Now, the common factors can be found like this.

509:509

897:3x 13x 23

397:397

914:2x 457

364:2x 2x 7x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 60304304290776/(1x26)

LCM = 60304304290776/26

LCM = 2319396318876

Thus, we can understand that the LCM of 509,897,397,914,364 is 2319396318876.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 688, 510, 296, 350, 798
• LCM of 972, 878, 981, 630, 147
• LCM of 839, 285, 759, 520, 571
• LCM of 848, 745, 828, 166, 703
• LCM of 918, 821, 870, 395, 896

1. What is the LCM of 509, 897, 397, 914, 364?

Answer: LCM of 509, 897, 397, 914, 364 is 2319396318876.

2. How to calculate the LCM of 509, 897, 397, 914, 364?

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 509, 897, 397, 914, 364.

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}.