Given numbers are 468,552,552,743

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

The LCM of 468,552,552,743 is 15995304.

Find LCM of 468,552,552,743 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 39 x 1 x 1 x 743 = 15995304

Therefore, the lowest common multiple of 468,552,552,743 is 15995304.

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.

468 x 552 x 552 x 743 = 105952893696

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

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

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,552,552,743, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

552:2x 2x 2x 3x 23

552:2x 2x 2x 3x 23

743:743

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 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 105952893696/(1x6624)

LCM = 105952893696/6624

LCM = 15995304

Thus, we can understand that the LCM of 468,552,552,743 is 15995304.

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

• LCM of 494, 178, 990, 900
• LCM of 213, 765, 814, 627
• LCM of 676, 225, 706, 527
• LCM of 423, 343, 375, 272
• LCM of 733, 841, 734, 304

1. What is the LCM of 468, 552, 552, 743?

Answer: LCM of 468, 552, 552, 743 is 15995304.

2. How to calculate the LCM of 468, 552, 552, 743?

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 468, 552, 552, 743.

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}.