Given numbers are 492,398,435,193,936

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

The LCM of 492,398,435,193,936 is 213716519640.

Find LCM of 492,398,435,193,936 with Prime Factorization

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

2 x 2 x 3 x 41 x 199 x 145 x 193 x 78 = 213716519640

Therefore, the lowest common multiple of 492,398,435,193,936 is 213716519640.

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.

492 x 398 x 435 x 193 x 936 = 15387589414080

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

398 : 1, 2, 199, 398

435 : 1, 3, 5, 15, 29, 87, 145, 435

193 : 1, 193

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,398,435,193,936, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

398:2x 199

435:3x 5x 29

193:193

936:2x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 15387589414080/(1x72)

LCM = 15387589414080/72

LCM = 213716519640

Thus, we can understand that the LCM of 492,398,435,193,936 is 213716519640.

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

• LCM of 425, 388, 815, 221, 266
• LCM of 612, 155, 322, 677, 681
• LCM of 613, 454, 563, 846, 164
• LCM of 561, 682, 391, 229, 800
• LCM of 557, 269, 711, 474, 536

1. What is the LCM of 492, 398, 435, 193, 936?

Answer: LCM of 492, 398, 435, 193, 936 is 213716519640.

2. How to calculate the LCM of 492, 398, 435, 193, 936?

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 492, 398, 435, 193, 936.

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}.