Given numbers are 962,409,624,420

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

The LCM of 962,409,624,420 is 330504720.

Find LCM of 962,409,624,420 with Prime Factorization

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

2 x 2 x 3 x 13 x 37 x 409 x 4 x 35 = 330504720

Therefore, the lowest common multiple of 962,409,624,420 is 330504720.

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.

962 x 409 x 624 x 420 = 103117472640

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.

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

409 : 1, 409

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,409,624,420, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

409:409

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

420:2x 2x 3x 5x 7

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 13 = 312

Therefore, the value for common factors is 312.

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 = 103117472640/(1x312)

LCM = 103117472640/312

LCM = 330504720

Thus, we can understand that the LCM of 962,409,624,420 is 330504720.

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

• LCM of 541, 905, 731, 874
• LCM of 244, 142, 264, 857
• LCM of 754, 384, 131, 392
• LCM of 228, 841, 322, 776
• LCM of 761, 859, 365, 569

1. What is the LCM of 962, 409, 624, 420?

Answer: LCM of 962, 409, 624, 420 is 330504720.

2. How to calculate the LCM of 962, 409, 624, 420?

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 962, 409, 624, 420.

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}.