Given numbers are 564,305,965,454

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

The LCM of 564,305,965,454 is 7536368220.

Find LCM of 564,305,965,454 with Prime Factorization

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

2 x 5 x 282 x 61 x 193 x 227 = 7536368220

Therefore, the lowest common multiple of 564,305,965,454 is 7536368220.

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 305 x 965 x 454 = 75363682200

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

305 : 1, 5, 61, 305

965 : 1, 5, 193, 965

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,305,965,454, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

305:5x 61

965:5x 193

454:2x 227

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 75363682200/(1x10)

LCM = 75363682200/10

LCM = 7536368220

Thus, we can understand that the LCM of 564,305,965,454 is 7536368220.

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

• LCM of 451, 622, 930, 790
• LCM of 584, 613, 424, 757
• LCM of 289, 751, 974, 778
• LCM of 461, 806, 251, 282
• LCM of 845, 842, 877, 179

1. What is the LCM of 564, 305, 965, 454?

Answer: LCM of 564, 305, 965, 454 is 7536368220.

2. How to calculate the LCM of 564, 305, 965, 454?

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, 305, 965, 454.

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}.