Given numbers are 676,366,408,117,501

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

The LCM of 676,366,408,117,501 is 2107242072.

Find LCM of 676,366,408,117,501 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 61 x 34 x 3 x 167 = 2107242072

Therefore, the lowest common multiple of 676,366,408,117,501 is 2107242072.

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 366 x 408 x 117 x 501 = 5917135738176

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

117 : 1, 3, 9, 13, 39, 117

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,366,408,117,501, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

366:2x 3x 61

408:2x 2x 2x 3x 17

117:3x 3x 13

501:3x 167

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 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 5917135738176/(1x2808)

LCM = 5917135738176/2808

LCM = 2107242072

Thus, we can understand that the LCM of 676,366,408,117,501 is 2107242072.

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

• LCM of 575, 350, 444, 501, 961
• LCM of 881, 962, 552, 459, 430
• LCM of 860, 108, 889, 602, 603
• LCM of 319, 230, 514, 512, 434
• LCM of 538, 502, 200, 782, 146

1. What is the LCM of 676, 366, 408, 117, 501?

Answer: LCM of 676, 366, 408, 117, 501 is 2107242072.

2. How to calculate the LCM of 676, 366, 408, 117, 501?

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, 366, 408, 117, 501.

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}.