Given numbers are 564,145,707,302

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

The LCM of 564,145,707,302 is 8730587460.

Find LCM of 564,145,707,302 with Prime Factorization

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

2 x 282 x 145 x 707 x 151 = 8730587460

Therefore, the lowest common multiple of 564,145,707,302 is 8730587460.

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 145 x 707 x 302 = 17461174920

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

145 : 1, 5, 29, 145

707 : 1, 7, 101, 707

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,145,707,302, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

145:5x 29

707:7x 101

302:2x 151

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17461174920/(1x2)

LCM = 17461174920/2

LCM = 8730587460

Thus, we can understand that the LCM of 564,145,707,302 is 8730587460.

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

• LCM of 819, 754, 858, 705
• LCM of 398, 547, 774, 476
• LCM of 779, 732, 459, 188
• LCM of 785, 170, 907, 388
• LCM of 322, 943, 572, 357

1. What is the LCM of 564, 145, 707, 302?

Answer: LCM of 564, 145, 707, 302 is 8730587460.

2. How to calculate the LCM of 564, 145, 707, 302?

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, 145, 707, 302.

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}.