Given numbers are 782,635,468,668,677

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

The LCM of 782,635,468,668,677 is 13137159585420.

Find LCM of 782,635,468,668,677 with Prime Factorization

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

2 x 2 x 391 x 635 x 117 x 167 x 677 = 13137159585420

Therefore, the lowest common multiple of 782,635,468,668,677 is 13137159585420.

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.

782 x 635 x 468 x 668 x 677 = 105097276683360

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

635 : 1, 5, 127, 635

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

668 : 1, 2, 4, 167, 334, 668

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,635,468,668,677, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

635:5x 127

468:2x 2x 3x 3x 13

668:2x 2x 167

677:677

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 2 = 8

Therefore, the value for common factors is 8.

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 = 105097276683360/(1x8)

LCM = 105097276683360/8

LCM = 13137159585420

Thus, we can understand that the LCM of 782,635,468,668,677 is 13137159585420.

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

• LCM of 926, 196, 213, 242, 783
• LCM of 542, 315, 862, 491, 319
• LCM of 184, 114, 972, 972, 195
• LCM of 312, 177, 240, 830, 597
• LCM of 565, 904, 248, 234, 133

1. What is the LCM of 782, 635, 468, 668, 677?

Answer: LCM of 782, 635, 468, 668, 677 is 13137159585420.

2. How to calculate the LCM of 782, 635, 468, 668, 677?

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 782, 635, 468, 668, 677.

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}.