Given numbers are 456,167,128,135,208

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

The LCM of 456,167,128,135,208 is 712782720.

Find LCM of 456,167,128,135,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 167 x 8 x 45 x 13 = 712782720

Therefore, the lowest common multiple of 456,167,128,135,208 is 712782720.

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 167 x 128 x 135 x 208 = 273708564480

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

167 : 1, 167

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,167,128,135,208, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

167:167

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

135:3x 3x 3x 5

208:2x 2x 2x 2x 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 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 = 273708564480/(1x384)

LCM = 273708564480/384

LCM = 712782720

Thus, we can understand that the LCM of 456,167,128,135,208 is 712782720.

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

• LCM of 917, 405, 792, 223, 728
• LCM of 713, 276, 840, 603, 285
• LCM of 870, 129, 715, 841, 442
• LCM of 528, 231, 874, 905, 955
• LCM of 563, 585, 340, 691, 112

1. What is the LCM of 456, 167, 128, 135, 208?

Answer: LCM of 456, 167, 128, 135, 208 is 712782720.

2. How to calculate the LCM of 456, 167, 128, 135, 208?

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, 167, 128, 135, 208.

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}.