Given numbers are 541,478,672,864

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

The LCM of 541,478,672,864 is 782000352.

Find LCM of 541,478,672,864 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 541 x 239 x 7 x 9 = 782000352

Therefore, the lowest common multiple of 541,478,672,864 is 782000352.

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.

541 x 478 x 672 x 864 = 150144067584

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.

541 : 1, 541

478 : 1, 2, 239, 478

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,478,672,864, is 1.

Now, the common factors can be found like this.

541:541

478:2x 239

672:2x 2x 2x 2x 2x 3x 7

864:2x 2x 2x 2x 2x 3x 3x 3

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 = 150144067584/(1x192)

LCM = 150144067584/192

LCM = 782000352

Thus, we can understand that the LCM of 541,478,672,864 is 782000352.

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

• LCM of 887, 214, 311, 106
• LCM of 809, 447, 306, 171
• LCM of 752, 809, 598, 466
• LCM of 999, 600, 712, 685
• LCM of 993, 969, 944, 272

1. What is the LCM of 541, 478, 672, 864?

Answer: LCM of 541, 478, 672, 864 is 782000352.

2. How to calculate the LCM of 541, 478, 672, 864?

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 541, 478, 672, 864.

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}.