Given numbers are 460,217,936

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

The LCM of 460,217,936 is 23357880.

Find LCM of 460,217,936 with Prime Factorization

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

2 x 2 x 115 x 217 x 234 = 23357880

Therefore, the lowest common multiple of 460,217,936 is 23357880.

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 217 x 936 = 93431520

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

217 : 1, 7, 31, 217

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,217,936, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

217:7x 31

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

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 93431520/(1x4)

LCM = 93431520/4

LCM = 23357880

Thus, we can understand that the LCM of 460,217,936 is 23357880.

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

• LCM of 676, 884, 145
• LCM of 769, 341, 919
• LCM of 285, 171, 554
• LCM of 414, 857, 140
• LCM of 824, 826, 889

1. What is the LCM of 460, 217, 936?

Answer: LCM of 460, 217, 936 is 23357880.

2. How to calculate the LCM of 460, 217, 936?

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, 217, 936.

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}.