Given numbers are 724,504,701,682

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

The LCM of 724,504,701,682 is 21806276184.

Find LCM of 724,504,701,682 with Prime Factorization

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

2 x 2 x 181 x 126 x 701 x 341 = 21806276184

Therefore, the lowest common multiple of 724,504,701,682 is 21806276184.

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.

724 x 504 x 701 x 682 = 174450209472

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.

724 : 1, 2, 4, 181, 362, 724

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

701 : 1, 701

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 724,504,701,682, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

504:2x 2x 2x 3x 3x 7

701:701

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 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 = 174450209472/(1x8)

LCM = 174450209472/8

LCM = 21806276184

Thus, we can understand that the LCM of 724,504,701,682 is 21806276184.

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

• LCM of 570, 138, 328, 675
• LCM of 792, 526, 204, 445
• LCM of 454, 500, 676, 559
• LCM of 748, 109, 825, 394
• LCM of 610, 635, 648, 624

1. What is the LCM of 724, 504, 701, 682?

Answer: LCM of 724, 504, 701, 682 is 21806276184.

2. How to calculate the LCM of 724, 504, 701, 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 724, 504, 701, 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}.