Given numbers are 478,971,168,750,402

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

The LCM of 478,971,168,750,402 is 326521083000.

Find LCM of 478,971,168,750,402 with Prime Factorization

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

2 x 3 x 239 x 971 x 28 x 125 x 67 = 326521083000

Therefore, the lowest common multiple of 478,971,168,750,402 is 326521083000.

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 971 x 168 x 750 x 402 = 23509517976000

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

971 : 1, 971

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,971,168,750,402, is 1.

Now, the common factors can be found like this.

478:2x 239

971:971

168:2x 2x 2x 3x 7

750:2x 3x 5x 5x 5

402:2x 3x 67

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 23509517976000/(1x72)

LCM = 23509517976000/72

LCM = 326521083000

Thus, we can understand that the LCM of 478,971,168,750,402 is 326521083000.

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

• LCM of 350, 473, 778, 667, 809
• LCM of 243, 479, 792, 675, 896
• LCM of 400, 945, 962, 803, 541
• LCM of 554, 290, 534, 116, 723
• LCM of 678, 407, 991, 738, 992

1. What is the LCM of 478, 971, 168, 750, 402?

Answer: LCM of 478, 971, 168, 750, 402 is 326521083000.

2. How to calculate the LCM of 478, 971, 168, 750, 402?

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, 971, 168, 750, 402.

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}.