Given numbers are 306,136,680,436,533

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

The LCM of 306,136,680,436,533 is 355553640.

Find LCM of 306,136,680,436,533 with Prime Factorization

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

2 x 2 x 2 x 17 x 9 x 1 x 5 x 109 x 533 = 355553640

Therefore, the lowest common multiple of 306,136,680,436,533 is 355553640.

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 136 x 680 x 436 x 533 = 6576320125440

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

436 : 1, 2, 4, 109, 218, 436

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,136,680,436,533, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

136:2x 2x 2x 17

680:2x 2x 2x 5x 17

436:2x 2x 109

533:13x 41

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 2x 2x 17x 17 = 18496

Therefore, the value for common factors is 18496.

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 = 6576320125440/(1x18496)

LCM = 6576320125440/18496

LCM = 355553640

Thus, we can understand that the LCM of 306,136,680,436,533 is 355553640.

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

• LCM of 452, 336, 755, 184, 123
• LCM of 305, 626, 788, 522, 343
• LCM of 132, 948, 883, 198, 549
• LCM of 653, 248, 269, 803, 426
• LCM of 101, 390, 993, 196, 632

1. What is the LCM of 306, 136, 680, 436, 533?

Answer: LCM of 306, 136, 680, 436, 533 is 355553640.

2. How to calculate the LCM of 306, 136, 680, 436, 533?

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, 136, 680, 436, 533.

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}.