Given numbers are 704,167,315,612,772

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

The LCM of 704,167,315,612,772 is 121508291520.

Find LCM of 704,167,315,612,772 with Prime Factorization

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

2 x 2 x 3 x 3 x 176 x 167 x 35 x 17 x 193 = 121508291520

Therefore, the lowest common multiple of 704,167,315,612,772 is 121508291520.

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.

704 x 167 x 315 x 612 x 772 = 17497193978880

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

167 : 1, 167

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,167,315,612,772, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

167:167

315:3x 3x 5x 7

612:2x 2x 3x 3x 17

772:2x 2x 193

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 17497193978880/(1x144)

LCM = 17497193978880/144

LCM = 121508291520

Thus, we can understand that the LCM of 704,167,315,612,772 is 121508291520.

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

• LCM of 373, 979, 442, 991, 622
• LCM of 975, 127, 800, 200, 304
• LCM of 665, 763, 699, 826, 823
• LCM of 753, 477, 458, 959, 889
• LCM of 913, 838, 880, 836, 972

1. What is the LCM of 704, 167, 315, 612, 772?

Answer: LCM of 704, 167, 315, 612, 772 is 121508291520.

2. How to calculate the LCM of 704, 167, 315, 612, 772?

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 704, 167, 315, 612, 772.

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}.