Given numbers are 492,128,775,214

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

The LCM of 492,128,775,214 is 1305571200.

Find LCM of 492,128,775,214 with Prime Factorization

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

2 x 2 x 123 x 32 x 775 x 107 = 1305571200

Therefore, the lowest common multiple of 492,128,775,214 is 1305571200.

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 128 x 775 x 214 = 10444569600

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

775 : 1, 5, 25, 31, 155, 775

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,128,775,214, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

128:2x 2x 2x 2x 2x 2x 2

775:5x 5x 31

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10444569600/(1x8)

LCM = 10444569600/8

LCM = 1305571200

Thus, we can understand that the LCM of 492,128,775,214 is 1305571200.

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

• LCM of 289, 677, 453, 466
• LCM of 613, 676, 626, 159
• LCM of 562, 332, 251, 439
• LCM of 421, 166, 601, 363
• LCM of 883, 743, 999, 550

1. What is the LCM of 492, 128, 775, 214?

Answer: LCM of 492, 128, 775, 214 is 1305571200.

2. How to calculate the LCM of 492, 128, 775, 214?

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, 128, 775, 214.

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}.