Given numbers are 677,214,637,656,784

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

The LCM of 677,214,637,656,784 is 30270229808.

Find LCM of 677,214,637,656,784 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 7 x 677 x 107 x 13 x 41 x 1 = 30270229808

Therefore, the lowest common multiple of 677,214,637,656,784 is 30270229808.

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.

677 x 214 x 637 x 656 x 784 = 47463720338944

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.

677 : 1, 677

214 : 1, 2, 107, 214

637 : 1, 7, 13, 49, 91, 637

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,214,637,656,784, is 1.

Now, the common factors can be found like this.

677:677

214:2x 107

637:7x 7x 13

656:2x 2x 2x 2x 41

784:2x 2x 2x 2x 7x 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 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 47463720338944/(1x1568)

LCM = 47463720338944/1568

LCM = 30270229808

Thus, we can understand that the LCM of 677,214,637,656,784 is 30270229808.

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

• LCM of 508, 386, 283, 815, 817
• LCM of 282, 148, 398, 123, 163
• LCM of 940, 120, 708, 410, 617
• LCM of 823, 630, 650, 647, 109
• LCM of 860, 254, 141, 389, 615

1. What is the LCM of 677, 214, 637, 656, 784?

Answer: LCM of 677, 214, 637, 656, 784 is 30270229808.

2. How to calculate the LCM of 677, 214, 637, 656, 784?

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 677, 214, 637, 656, 784.

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}.