Given numbers are 893,600,522,507,770

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

The LCM of 893,600,522,507,770 is 606595789800.

Find LCM of 893,600,522,507,770 with Prime Factorization

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

2 x 3 x 5 x 893 x 20 x 87 x 169 x 77 = 606595789800

Therefore, the lowest common multiple of 893,600,522,507,770 is 606595789800.

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.

893 x 600 x 522 x 507 x 770 = 109187242164000

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.

893 : 1, 19, 47, 893

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

507 : 1, 3, 13, 39, 169, 507

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,600,522,507,770, is 1.

Now, the common factors can be found like this.

893:19x 47

600:2x 2x 2x 3x 5x 5

522:2x 3x 3x 29

507:3x 13x 13

770:2x 5x 7x 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 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 109187242164000/(1x180)

LCM = 109187242164000/180

LCM = 606595789800

Thus, we can understand that the LCM of 893,600,522,507,770 is 606595789800.

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

• LCM of 514, 552, 676, 472, 858
• LCM of 997, 210, 432, 697, 814
• LCM of 517, 754, 977, 424, 131
• LCM of 848, 482, 952, 341, 444
• LCM of 469, 964, 244, 897, 574

1. What is the LCM of 893, 600, 522, 507, 770?

Answer: LCM of 893, 600, 522, 507, 770 is 606595789800.

2. How to calculate the LCM of 893, 600, 522, 507, 770?

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 893, 600, 522, 507, 770.

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}.