Given numbers are 345,624,414,924

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

The LCM of 345,624,414,924 is 16576560.

Find LCM of 345,624,414,924 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 52 x 3 x 77 = 16576560

Therefore, the lowest common multiple of 345,624,414,924 is 16576560.

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.

345 x 624 x 414 x 924 = 82352350080

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,624,414,924, is 3.

Now, the common factors can be found like this.

345:3x 5x 23

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

414:2x 3x 3x 23

924:2x 2x 3x 7x 11

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 23 = 1656

Therefore, the value for common factors is 1656.

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 = 82352350080/(3x1656)

LCM = 82352350080/4968

LCM = 16576560

Thus, we can understand that the LCM of 345,624,414,924 is 16576560.

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

• LCM of 822, 954, 845, 750
• LCM of 394, 300, 725, 471
• LCM of 501, 620, 779, 634
• LCM of 661, 276, 738, 104
• LCM of 662, 515, 770, 765

1. What is the LCM of 345, 624, 414, 924?

Answer: LCM of 345, 624, 414, 924 is 16576560.

2. How to calculate the LCM of 345, 624, 414, 924?

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 345, 624, 414, 924.

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}.