Given numbers are 460,124,207,116,678

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

The LCM of 460,124,207,116,678 is 420570180.

Find LCM of 460,124,207,116,678 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 31 x 3 x 29 x 113 = 420570180

Therefore, the lowest common multiple of 460,124,207,116,678 is 420570180.

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.

460 x 124 x 207 x 116 x 678 = 928618957440

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

124 : 1, 2, 4, 31, 62, 124

207 : 1, 3, 9, 23, 69, 207

116 : 1, 2, 4, 29, 58, 116

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,124,207,116,678, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

124:2x 2x 31

207:3x 3x 23

116:2x 2x 29

678:2x 3x 113

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 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 928618957440/(1x2208)

LCM = 928618957440/2208

LCM = 420570180

Thus, we can understand that the LCM of 460,124,207,116,678 is 420570180.

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

• LCM of 779, 470, 385, 463, 229
• LCM of 317, 879, 632, 484, 127
• LCM of 615, 136, 366, 172, 885
• LCM of 932, 173, 513, 992, 289
• LCM of 549, 664, 582, 176, 551

1. What is the LCM of 460, 124, 207, 116, 678?

Answer: LCM of 460, 124, 207, 116, 678 is 420570180.

2. How to calculate the LCM of 460, 124, 207, 116, 678?

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 460, 124, 207, 116, 678.

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}.