Given numbers are 968,800,378,478

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

The LCM of 968,800,378,478 is 4372552800.

Find LCM of 968,800,378,478 with Prime Factorization

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

2 x 2 x 2 x 121 x 100 x 189 x 239 = 4372552800

Therefore, the lowest common multiple of 968,800,378,478 is 4372552800.

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.

968 x 800 x 378 x 478 = 139921689600

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,800,378,478, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

800:2x 2x 2x 2x 2x 5x 5

378:2x 3x 3x 3x 7

478:2x 239

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 139921689600/(2x16)

LCM = 139921689600/32

LCM = 4372552800

Thus, we can understand that the LCM of 968,800,378,478 is 4372552800.

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

• LCM of 599, 581, 908, 108
• LCM of 925, 443, 314, 469
• LCM of 694, 840, 664, 615
• LCM of 736, 384, 839, 746
• LCM of 647, 963, 938, 986

1. What is the LCM of 968, 800, 378, 478?

Answer: LCM of 968, 800, 378, 478 is 4372552800.

2. How to calculate the LCM of 968, 800, 378, 478?

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 968, 800, 378, 478.

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}.