Given numbers are 217,624,331,990,962

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

The LCM of 217,624,331,990,962 is 273626393040.

Find LCM of 217,624,331,990,962 with Prime Factorization

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

2 x 3 x 13 x 217 x 8 x 331 x 165 x 37 = 273626393040

Therefore, the lowest common multiple of 217,624,331,990,962 is 273626393040.

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.

217 x 624 x 331 x 990 x 962 = 42685717314240

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.

217 : 1, 7, 31, 217

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

331 : 1, 331

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,624,331,990,962, is 1.

Now, the common factors can be found like this.

217:7x 31

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

331:331

990:2x 3x 3x 5x 11

962:2x 13x 37

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 42685717314240/(1x156)

LCM = 42685717314240/156

LCM = 273626393040

Thus, we can understand that the LCM of 217,624,331,990,962 is 273626393040.

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

• LCM of 829, 324, 804, 979, 293
• LCM of 350, 930, 938, 462, 379
• LCM of 381, 105, 458, 211, 250
• LCM of 487, 659, 709, 928, 828
• LCM of 335, 155, 465, 948, 946

1. What is the LCM of 217, 624, 331, 990, 962?

Answer: LCM of 217, 624, 331, 990, 962 is 273626393040.

2. How to calculate the LCM of 217, 624, 331, 990, 962?

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 217, 624, 331, 990, 962.

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}.