Given numbers are 291,387,289,558,624

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

The LCM of 291,387,289,558,624 is 69952875408.

Find LCM of 291,387,289,558,624 with Prime Factorization

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

2 x 3 x 3 x 97 x 43 x 289 x 31 x 104 = 69952875408

Therefore, the lowest common multiple of 291,387,289,558,624 is 69952875408.

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.

291 x 387 x 289 x 558 x 624 = 11332365816096

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.

291 : 1, 3, 97, 291

387 : 1, 3, 9, 43, 129, 387

289 : 1, 17, 289

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,387,289,558,624, is 1.

Now, the common factors can be found like this.

291:3x 97

387:3x 3x 43

289:17x 17

558:2x 3x 3x 31

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 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 11332365816096/(1x162)

LCM = 11332365816096/162

LCM = 69952875408

Thus, we can understand that the LCM of 291,387,289,558,624 is 69952875408.

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

• LCM of 758, 195, 546, 883, 714
• LCM of 684, 975, 412, 179, 521
• LCM of 127, 520, 658, 126, 279
• LCM of 950, 995, 318, 378, 475
• LCM of 698, 610, 867, 420, 597

1. What is the LCM of 291, 387, 289, 558, 624?

Answer: LCM of 291, 387, 289, 558, 624 is 69952875408.

2. How to calculate the LCM of 291, 387, 289, 558, 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 291, 387, 289, 558, 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}.