Given numbers are 747,509,104,358,220

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

The LCM of 747,509,104,358,220 is 389302725240.

Find LCM of 747,509,104,358,220 with Prime Factorization

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

2 x 2 x 747 x 509 x 26 x 179 x 55 = 389302725240

Therefore, the lowest common multiple of 747,509,104,358,220 is 389302725240.

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.

747 x 509 x 104 x 358 x 220 = 3114421801920

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.

747 : 1, 3, 9, 83, 249, 747

509 : 1, 509

104 : 1, 2, 4, 8, 13, 26, 52, 104

358 : 1, 2, 179, 358

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,509,104,358,220, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

509:509

104:2x 2x 2x 13

358:2x 179

220:2x 2x 5x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3114421801920/(1x8)

LCM = 3114421801920/8

LCM = 389302725240

Thus, we can understand that the LCM of 747,509,104,358,220 is 389302725240.

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

• LCM of 149, 954, 468, 469, 302
• LCM of 384, 658, 914, 932, 998
• LCM of 764, 831, 806, 507, 346
• LCM of 622, 294, 564, 413, 358
• LCM of 999, 280, 417, 132, 466

1. What is the LCM of 747, 509, 104, 358, 220?

Answer: LCM of 747, 509, 104, 358, 220 is 389302725240.

2. How to calculate the LCM of 747, 509, 104, 358, 220?

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 747, 509, 104, 358, 220.

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}.