Given numbers are 315,912,134,193

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

The LCM of 315,912,134,193 is 1238272560.

Find LCM of 315,912,134,193 with Prime Factorization

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

2 x 3 x 105 x 152 x 67 x 193 = 1238272560

Therefore, the lowest common multiple of 315,912,134,193 is 1238272560.

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.

315 x 912 x 134 x 193 = 7429635360

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.

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

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

134 : 1, 2, 67, 134

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,912,134,193, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

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

134:2x 67

193:193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7429635360/(1x6)

LCM = 7429635360/6

LCM = 1238272560

Thus, we can understand that the LCM of 315,912,134,193 is 1238272560.

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

• LCM of 659, 565, 406, 983
• LCM of 492, 333, 808, 699
• LCM of 789, 156, 753, 328
• LCM of 592, 360, 213, 771
• LCM of 154, 886, 968, 731

1. What is the LCM of 315, 912, 134, 193?

Answer: LCM of 315, 912, 134, 193 is 1238272560.

2. How to calculate the LCM of 315, 912, 134, 193?

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 315, 912, 134, 193.

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}.