Given numbers are 470,276,381,912,867

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

The LCM of 470,276,381,912,867 is 180922300080.

Find LCM of 470,276,381,912,867 with Prime Factorization

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

2 x 2 x 3 x 235 x 23 x 127 x 76 x 289 = 180922300080

Therefore, the lowest common multiple of 470,276,381,912,867 is 180922300080.

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.

470 x 276 x 381 x 912 x 867 = 39079216817280

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

381 : 1, 3, 127, 381

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,276,381,912,867, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

276:2x 2x 3x 23

381:3x 127

912:2x 2x 2x 2x 3x 19

867:3x 17x 17

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 39079216817280/(1x216)

LCM = 39079216817280/216

LCM = 180922300080

Thus, we can understand that the LCM of 470,276,381,912,867 is 180922300080.

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

• LCM of 624, 330, 498, 658, 527
• LCM of 836, 647, 231, 434, 736
• LCM of 823, 947, 526, 704, 237
• LCM of 800, 791, 835, 332, 647
• LCM of 498, 401, 674, 830, 959

1. What is the LCM of 470, 276, 381, 912, 867?

Answer: LCM of 470, 276, 381, 912, 867 is 180922300080.

2. How to calculate the LCM of 470, 276, 381, 912, 867?

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 470, 276, 381, 912, 867.

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}.