Given numbers are 564,365,298,402

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

The LCM of 564,365,298,402 is 2055100380.

Find LCM of 564,365,298,402 with Prime Factorization

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

2 x 3 x 94 x 365 x 149 x 67 = 2055100380

Therefore, the lowest common multiple of 564,365,298,402 is 2055100380.

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.

564 x 365 x 298 x 402 = 24661204560

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

365 : 1, 5, 73, 365

298 : 1, 2, 149, 298

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 564,365,298,402, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

365:5x 73

298:2x 149

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 3 = 12

Therefore, the value for common factors is 12.

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 = 24661204560/(1x12)

LCM = 24661204560/12

LCM = 2055100380

Thus, we can understand that the LCM of 564,365,298,402 is 2055100380.

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

• LCM of 731, 380, 879, 450
• LCM of 406, 407, 719, 123
• LCM of 891, 531, 537, 437
• LCM of 832, 676, 807, 917
• LCM of 296, 157, 688, 320

1. What is the LCM of 564, 365, 298, 402?

Answer: LCM of 564, 365, 298, 402 is 2055100380.

2. How to calculate the LCM of 564, 365, 298, 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 564, 365, 298, 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}.