Given numbers are 334,235,993,508,468

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

The LCM of 334,235,993,508,468 is 772079286420.

Find LCM of 334,235,993,508,468 with Prime Factorization

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

2 x 2 x 3 x 167 x 235 x 331 x 127 x 39 = 772079286420

Therefore, the lowest common multiple of 334,235,993,508,468 is 772079286420.

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.

334 x 235 x 993 x 508 x 468 = 18529902874080

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.

334 : 1, 2, 167, 334

235 : 1, 5, 47, 235

993 : 1, 3, 331, 993

508 : 1, 2, 4, 127, 254, 508

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,235,993,508,468, is 1.

Now, the common factors can be found like this.

334:2x 167

235:5x 47

993:3x 331

508:2x 2x 127

468:2x 2x 3x 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 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 = 18529902874080/(1x24)

LCM = 18529902874080/24

LCM = 772079286420

Thus, we can understand that the LCM of 334,235,993,508,468 is 772079286420.

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

• LCM of 496, 839, 842, 260, 293
• LCM of 294, 792, 308, 181, 817
• LCM of 804, 683, 607, 355, 470
• LCM of 291, 676, 918, 793, 612
• LCM of 540, 503, 940, 352, 689

1. What is the LCM of 334, 235, 993, 508, 468?

Answer: LCM of 334, 235, 993, 508, 468 is 772079286420.

2. How to calculate the LCM of 334, 235, 993, 508, 468?

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 334, 235, 993, 508, 468.

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}.