Given numbers are 552,240,612,964,924

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

The LCM of 552,240,612,964,924 is 5224166640.

Find LCM of 552,240,612,964,924 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 10 x 51 x 241 x 77 = 5224166640

Therefore, the lowest common multiple of 552,240,612,964,924 is 5224166640.

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.

552 x 240 x 612 x 964 x 924 = 72218879631360

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

964 : 1, 2, 4, 241, 482, 964

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,240,612,964,924, is 4.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

240:2x 2x 2x 2x 3x 5

612:2x 2x 3x 3x 17

964:2x 2x 241

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 2x 2x 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 72218879631360/(4x3456)

LCM = 72218879631360/13824

LCM = 5224166640

Thus, we can understand that the LCM of 552,240,612,964,924 is 5224166640.

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

• LCM of 834, 607, 188, 987, 836
• LCM of 492, 868, 665, 452, 435
• LCM of 936, 650, 469, 693, 405
• LCM of 215, 434, 421, 612, 443
• LCM of 484, 334, 499, 887, 954

1. What is the LCM of 552, 240, 612, 964, 924?

Answer: LCM of 552, 240, 612, 964, 924 is 5224166640.

2. How to calculate the LCM of 552, 240, 612, 964, 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 552, 240, 612, 964, 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}.