Given numbers are 676,784,341,996,584

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

The LCM of 676,784,341,996,584 is 821257509072.

Find LCM of 676,784,341,996,584 with Prime Factorization

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

2 x 2 x 2 x 169 x 98 x 341 x 249 x 73 = 821257509072

Therefore, the lowest common multiple of 676,784,341,996,584 is 821257509072.

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.

676 x 784 x 341 x 996 x 584 = 105120961161216

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

341 : 1, 11, 31, 341

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,784,341,996,584, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

784:2x 2x 2x 2x 7x 7

341:11x 31

996:2x 2x 3x 83

584:2x 2x 2x 73

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 2 = 128

Therefore, the value for common factors is 128.

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 = 105120961161216/(1x128)

LCM = 105120961161216/128

LCM = 821257509072

Thus, we can understand that the LCM of 676,784,341,996,584 is 821257509072.

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

• LCM of 702, 874, 285, 194, 139
• LCM of 583, 767, 190, 161, 357
• LCM of 453, 305, 510, 846, 624
• LCM of 285, 308, 957, 238, 761
• LCM of 338, 659, 576, 140, 341

1. What is the LCM of 676, 784, 341, 996, 584?

Answer: LCM of 676, 784, 341, 996, 584 is 821257509072.

2. How to calculate the LCM of 676, 784, 341, 996, 584?

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 676, 784, 341, 996, 584.

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}.