Given numbers are 232,624,760,984

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

The LCM of 232,624,760,984 is 70483920.

Find LCM of 232,624,760,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 26 x 95 x 41 = 70483920

Therefore, the lowest common multiple of 232,624,760,984 is 70483920.

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.

232 x 624 x 760 x 984 = 108263301120

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,624,760,984, is 8.

Now, the common factors can be found like this.

232:2x 2x 2x 29

624:2x 2x 2x 2x 3x 13

760:2x 2x 2x 5x 19

984:2x 2x 2x 3x 41

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 108263301120/(8x192)

LCM = 108263301120/1536

LCM = 70483920

Thus, we can understand that the LCM of 232,624,760,984 is 70483920.

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

• LCM of 460, 320, 606, 195
• LCM of 837, 823, 389, 758
• LCM of 521, 724, 846, 341
• LCM of 153, 610, 741, 428
• LCM of 918, 852, 575, 579

1. What is the LCM of 232, 624, 760, 984?

Answer: LCM of 232, 624, 760, 984 is 70483920.

2. How to calculate the LCM of 232, 624, 760, 984?

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 232, 624, 760, 984.

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}.