Given numbers are 362,128,192,495

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

The LCM of 362,128,192,495 is 11468160.

Find LCM of 362,128,192,495 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 181 x 2 x 1 x 165 = 11468160

Therefore, the lowest common multiple of 362,128,192,495 is 11468160.

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.

362 x 128 x 192 x 495 = 4403773440

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.

362 : 1, 2, 181, 362

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,128,192,495, is 1.

Now, the common factors can be found like this.

362:2x 181

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

192:2x 2x 2x 2x 2x 2x 3

495:3x 3x 5x 11

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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 4403773440/(1x384)

LCM = 4403773440/384

LCM = 11468160

Thus, we can understand that the LCM of 362,128,192,495 is 11468160.

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

• LCM of 935, 810, 776, 823
• LCM of 835, 650, 283, 107
• LCM of 535, 376, 238, 714
• LCM of 944, 742, 443, 583
• LCM of 637, 133, 380, 148

1. What is the LCM of 362, 128, 192, 495?

Answer: LCM of 362, 128, 192, 495 is 11468160.

2. How to calculate the LCM of 362, 128, 192, 495?

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 362, 128, 192, 495.

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}.