Given numbers are 936,193,960,465

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

The LCM of 936,193,960,465 is 224003520.

Find LCM of 936,193,960,465 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 39 x 193 x 8 x 31 = 224003520

Therefore, the lowest common multiple of 936,193,960,465 is 224003520.

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.

936 x 193 x 960 x 465 = 80641267200

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

193 : 1, 193

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,193,960,465, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

193:193

960:2x 2x 2x 2x 2x 2x 3x 5

465:3x 5x 31

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 5 = 360

Therefore, the value for common factors is 360.

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 = 80641267200/(1x360)

LCM = 80641267200/360

LCM = 224003520

Thus, we can understand that the LCM of 936,193,960,465 is 224003520.

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

• LCM of 887, 993, 900, 472
• LCM of 666, 962, 626, 815
• LCM of 150, 250, 262, 401
• LCM of 560, 385, 117, 404
• LCM of 873, 233, 499, 668

1. What is the LCM of 936, 193, 960, 465?

Answer: LCM of 936, 193, 960, 465 is 224003520.

2. How to calculate the LCM of 936, 193, 960, 465?

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 936, 193, 960, 465.

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}.