Given numbers are 678,755,779,493,722

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

The LCM of 678,755,779,493,722 is 3735206557770.

Find LCM of 678,755,779,493,722 with Prime Factorization

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

2 x 19 x 339 x 755 x 41 x 493 x 19 = 3735206557770

Therefore, the lowest common multiple of 678,755,779,493,722 is 3735206557770.

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.

678 x 755 x 779 x 493 x 722 = 141937849195260

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

755 : 1, 5, 151, 755

779 : 1, 19, 41, 779

493 : 1, 17, 29, 493

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,755,779,493,722, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

755:5x 151

779:19x 41

493:17x 29

722:2x 19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 141937849195260/(1x38)

LCM = 141937849195260/38

LCM = 3735206557770

Thus, we can understand that the LCM of 678,755,779,493,722 is 3735206557770.

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

• LCM of 603, 114, 268, 393, 914
• LCM of 820, 776, 456, 901, 337
• LCM of 373, 935, 755, 406, 221
• LCM of 836, 300, 784, 519, 290
• LCM of 653, 591, 605, 699, 112

1. What is the LCM of 678, 755, 779, 493, 722?

Answer: LCM of 678, 755, 779, 493, 722 is 3735206557770.

2. How to calculate the LCM of 678, 755, 779, 493, 722?

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 678, 755, 779, 493, 722.

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}.