Given numbers are 614,507,722,682

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

The LCM of 614,507,722,682 is 38321095098.

Find LCM of 614,507,722,682 with Prime Factorization

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

2 x 307 x 507 x 361 x 341 = 38321095098

Therefore, the lowest common multiple of 614,507,722,682 is 38321095098.

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.

614 x 507 x 722 x 682 = 153284380392

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.

614 : 1, 2, 307, 614

507 : 1, 3, 13, 39, 169, 507

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,507,722,682, is 1.

Now, the common factors can be found like this.

614:2x 307

507:3x 13x 13

722:2x 19x 19

682:2x 11x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 153284380392/(1x4)

LCM = 153284380392/4

LCM = 38321095098

Thus, we can understand that the LCM of 614,507,722,682 is 38321095098.

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

• LCM of 783, 746, 429, 185
• LCM of 273, 434, 935, 506
• LCM of 237, 866, 141, 914
• LCM of 602, 143, 128, 419
• LCM of 703, 285, 957, 731

1. What is the LCM of 614, 507, 722, 682?

Answer: LCM of 614, 507, 722, 682 is 38321095098.

2. How to calculate the LCM of 614, 507, 722, 682?

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 614, 507, 722, 682.

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}.