Given numbers are 456,121,149,192

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

The LCM of 456,121,149,192 is 65769792.

Find LCM of 456,121,149,192 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 121 x 149 x 8 = 65769792

Therefore, the lowest common multiple of 456,121,149,192 is 65769792.

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.

456 x 121 x 149 x 192 = 1578475008

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

121 : 1, 11, 121

149 : 1, 149

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,121,149,192, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

121:11x 11

149:149

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

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 = 1578475008/(1x24)

LCM = 1578475008/24

LCM = 65769792

Thus, we can understand that the LCM of 456,121,149,192 is 65769792.

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

• LCM of 132, 755, 159, 418
• LCM of 155, 867, 389, 286
• LCM of 747, 381, 151, 751
• LCM of 335, 878, 501, 864
• LCM of 221, 645, 969, 860

1. What is the LCM of 456, 121, 149, 192?

Answer: LCM of 456, 121, 149, 192 is 65769792.

2. How to calculate the LCM of 456, 121, 149, 192?

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 456, 121, 149, 192.

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}.