Given numbers are 478,630,966,968

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

The LCM of 478,630,966,968 is 1676145240.

Find LCM of 478,630,966,968 with Prime Factorization

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

2 x 3 x 7 x 239 x 15 x 23 x 484 = 1676145240

Therefore, the lowest common multiple of 478,630,966,968 is 1676145240.

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.

478 x 630 x 966 x 968 = 281592400320

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.

478 : 1, 2, 239, 478

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,630,966,968, is 2.

Now, the common factors can be found like this.

478:2x 239

630:2x 3x 3x 5x 7

966:2x 3x 7x 23

968:2x 2x 2x 11x 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 7 = 84

Therefore, the value for common factors is 84.

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 = 281592400320/(2x84)

LCM = 281592400320/168

LCM = 1676145240

Thus, we can understand that the LCM of 478,630,966,968 is 1676145240.

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

• LCM of 719, 759, 733, 269
• LCM of 564, 235, 689, 175
• LCM of 709, 737, 231, 656
• LCM of 839, 880, 420, 968
• LCM of 256, 397, 928, 933

1. What is the LCM of 478, 630, 966, 968?

Answer: LCM of 478, 630, 966, 968 is 1676145240.

2. How to calculate the LCM of 478, 630, 966, 968?

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 478, 630, 966, 968.

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}.