Given numbers are 306,201,572,590,988

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

The LCM of 306,201,572,590,988 is 32865321060.

Find LCM of 306,201,572,590,988 with Prime Factorization

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

2 x 2 x 3 x 13 x 51 x 67 x 11 x 295 x 19 = 32865321060

Therefore, the lowest common multiple of 306,201,572,590,988 is 32865321060.

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.

306 x 201 x 572 x 590 x 988 = 20507960341440

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

201 : 1, 3, 67, 201

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

590 : 1, 2, 5, 10, 59, 118, 295, 590

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,201,572,590,988, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

201:3x 67

572:2x 2x 11x 13

590:2x 5x 59

988:2x 2x 13x 19

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 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 20507960341440/(1x624)

LCM = 20507960341440/624

LCM = 32865321060

Thus, we can understand that the LCM of 306,201,572,590,988 is 32865321060.

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

• LCM of 147, 290, 256, 830, 220
• LCM of 782, 492, 902, 803, 454
• LCM of 769, 416, 482, 386, 530
• LCM of 293, 653, 472, 173, 515
• LCM of 253, 525, 756, 348, 364

1. What is the LCM of 306, 201, 572, 590, 988?

Answer: LCM of 306, 201, 572, 590, 988 is 32865321060.

2. How to calculate the LCM of 306, 201, 572, 590, 988?

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 306, 201, 572, 590, 988.

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}.