Given numbers are 468,394,407,428,159

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

The LCM of 468,394,407,428,159 is 212797311012.

Find LCM of 468,394,407,428,159 with Prime Factorization

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

2 x 2 x 3 x 39 x 197 x 407 x 107 x 53 = 212797311012

Therefore, the lowest common multiple of 468,394,407,428,159 is 212797311012.

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.

468 x 394 x 407 x 428 x 159 = 5107135464288

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

394 : 1, 2, 197, 394

407 : 1, 11, 37, 407

428 : 1, 2, 4, 107, 214, 428

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,394,407,428,159, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

394:2x 197

407:11x 37

428:2x 2x 107

159:3x 53

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5107135464288/(1x24)

LCM = 5107135464288/24

LCM = 212797311012

Thus, we can understand that the LCM of 468,394,407,428,159 is 212797311012.

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

• LCM of 275, 804, 770, 262, 678
• LCM of 915, 483, 354, 844, 262
• LCM of 886, 184, 470, 373, 978
• LCM of 109, 103, 704, 504, 509
• LCM of 369, 852, 393, 505, 524

1. What is the LCM of 468, 394, 407, 428, 159?

Answer: LCM of 468, 394, 407, 428, 159 is 212797311012.

2. How to calculate the LCM of 468, 394, 407, 428, 159?

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 468, 394, 407, 428, 159.

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}.