Given numbers are 678,321,961,353,900

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

The LCM of 678,321,961,353,900 is 3691499582700.

Find LCM of 678,321,961,353,900 with Prime Factorization

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

2 x 3 x 113 x 107 x 961 x 353 x 150 = 3691499582700

Therefore, the lowest common multiple of 678,321,961,353,900 is 3691499582700.

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.

678 x 321 x 961 x 353 x 900 = 66446992488600

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

321 : 1, 3, 107, 321

961 : 1, 31, 961

353 : 1, 353

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,321,961,353,900, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

321:3x 107

961:31x 31

353:353

900:2x 2x 3x 3x 5x 5

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 3 = 18

Therefore, the value for common factors is 18.

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 = 66446992488600/(1x18)

LCM = 66446992488600/18

LCM = 3691499582700

Thus, we can understand that the LCM of 678,321,961,353,900 is 3691499582700.

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

• LCM of 391, 653, 879, 874, 130
• LCM of 496, 279, 837, 811, 477
• LCM of 732, 712, 572, 137, 949
• LCM of 744, 146, 282, 745, 826
• LCM of 735, 387, 775, 589, 957

1. What is the LCM of 678, 321, 961, 353, 900?

Answer: LCM of 678, 321, 961, 353, 900 is 3691499582700.

2. How to calculate the LCM of 678, 321, 961, 353, 900?

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 678, 321, 961, 353, 900.

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}.