Given numbers are 633,897,828,649,690

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

The LCM of 633,897,828,649,690 is 7370056980.

Find LCM of 633,897,828,649,690 with Prime Factorization

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

2 x 3 x 23 x 211 x 13 x 6 x 649 x 5 = 7370056980

Therefore, the lowest common multiple of 633,897,828,649,690 is 7370056980.

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.

633 x 897 x 828 x 649 x 690 = 210533047690680

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.

633 : 1, 3, 211, 633

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

649 : 1, 11, 59, 649

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,897,828,649,690, is 1.

Now, the common factors can be found like this.

633:3x 211

897:3x 13x 23

828:2x 2x 3x 3x 23

649:11x 59

690:2x 3x 5x 23

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

2x 3x 3x 3x 23x 23 = 28566

Therefore, the value for common factors is 28566.

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 = 210533047690680/(1x28566)

LCM = 210533047690680/28566

LCM = 7370056980

Thus, we can understand that the LCM of 633,897,828,649,690 is 7370056980.

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

• LCM of 697, 801, 684, 813, 600
• LCM of 734, 925, 296, 698, 781
• LCM of 211, 863, 881, 829, 142
• LCM of 768, 362, 376, 995, 769
• LCM of 997, 278, 717, 721, 701

1. What is the LCM of 633, 897, 828, 649, 690?

Answer: LCM of 633, 897, 828, 649, 690 is 7370056980.

2. How to calculate the LCM of 633, 897, 828, 649, 690?

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 633, 897, 828, 649, 690.

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}.