Given numbers are 552,392,732,872

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

The LCM of 552,392,732,872 is 179842152.

Find LCM of 552,392,732,872 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 49 x 61 x 109 = 179842152

Therefore, the lowest common multiple of 552,392,732,872 is 179842152.

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 392 x 732 x 872 = 138118772736

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

872 : 1, 2, 4, 8, 109, 218, 436, 872

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,392,732,872, is 4.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

392:2x 2x 2x 7x 7

732:2x 2x 3x 61

872:2x 2x 2x 109

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 3 = 192

Therefore, the value for common factors is 192.

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 = 138118772736/(4x192)

LCM = 138118772736/768

LCM = 179842152

Thus, we can understand that the LCM of 552,392,732,872 is 179842152.

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

• LCM of 617, 280, 843, 247
• LCM of 491, 239, 914, 998
• LCM of 268, 825, 191, 388
• LCM of 537, 210, 716, 454
• LCM of 641, 138, 892, 990

1. What is the LCM of 552, 392, 732, 872?

Answer: LCM of 552, 392, 732, 872 is 179842152.

2. How to calculate the LCM of 552, 392, 732, 872?

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, 392, 732, 872.

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}.