Given numbers are 552,752,756,840

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

The LCM of 552,752,756,840 is 16344720.

Find LCM of 552,752,756,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 23 x 94 x 9 x 5 = 16344720

Therefore, the lowest common multiple of 552,752,756,840 is 16344720.

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 752 x 756 x 840 = 263607644160

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,752,756,840, is 4.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

752:2x 2x 2x 2x 47

756:2x 2x 3x 3x 3x 7

840:2x 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 2x 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 263607644160/(4x4032)

LCM = 263607644160/16128

LCM = 16344720

Thus, we can understand that the LCM of 552,752,756,840 is 16344720.

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

• LCM of 436, 137, 300, 463
• LCM of 866, 954, 643, 931
• LCM of 514, 398, 203, 169
• LCM of 342, 541, 242, 724
• LCM of 655, 503, 171, 802

1. What is the LCM of 552, 752, 756, 840?

Answer: LCM of 552, 752, 756, 840 is 16344720.

2. How to calculate the LCM of 552, 752, 756, 840?

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, 752, 756, 840.

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}.