Given numbers are 350,590,730,354,624

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

The LCM of 350,590,730,354,624 is 470324400.

Find LCM of 350,590,730,354,624 with Prime Factorization

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

2 x 3 x 5 x 59 x 35 x 1 x 73 x 1 x 104 = 470324400

Therefore, the lowest common multiple of 350,590,730,354,624 is 470324400.

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.

350 x 590 x 730 x 354 x 624 = 33298967520000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

354 : 1, 2, 3, 6, 59, 118, 177, 354

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,590,730,354,624, is 2.

Now, the common factors can be found like this.

350:2x 5x 5x 7

590:2x 5x 59

730:2x 5x 73

354:2x 3x 59

624:2x 2x 2x 2x 3x 13

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 3x 5x 5x 59 = 35400

Therefore, the value for common factors is 35400.

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 = 33298967520000/(2x35400)

LCM = 33298967520000/70800

LCM = 470324400

Thus, we can understand that the LCM of 350,590,730,354,624 is 470324400.

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

• LCM of 617, 377, 491, 852, 976
• LCM of 757, 485, 790, 530, 946
• LCM of 933, 256, 525, 678, 237
• LCM of 555, 573, 760, 329, 588
• LCM of 953, 636, 962, 144, 357

1. What is the LCM of 350, 590, 730, 354, 624?

Answer: LCM of 350, 590, 730, 354, 624 is 470324400.

2. How to calculate the LCM of 350, 590, 730, 354, 624?

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 350, 590, 730, 354, 624.

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}.