Given numbers are 724,477,690,411,714

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

The LCM of 724,477,690,411,714 is 647473971060.

Find LCM of 724,477,690,411,714 with Prime Factorization

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

2 x 3 x 362 x 159 x 115 x 137 x 119 = 647473971060

Therefore, the lowest common multiple of 724,477,690,411,714 is 647473971060.

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 477 x 690 x 411 x 714 = 69927188874480

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

477 : 1, 3, 9, 53, 159, 477

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

411 : 1, 3, 137, 411

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,477,690,411,714, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

477:3x 3x 53

690:2x 3x 5x 23

411:3x 137

714:2x 3x 7x 17

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 69927188874480/(1x108)

LCM = 69927188874480/108

LCM = 647473971060

Thus, we can understand that the LCM of 724,477,690,411,714 is 647473971060.

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

• LCM of 562, 405, 774, 367, 915
• LCM of 197, 474, 616, 942, 638
• LCM of 921, 450, 879, 506, 766
• LCM of 666, 676, 719, 472, 175
• LCM of 265, 918, 735, 955, 975

1. What is the LCM of 724, 477, 690, 411, 714?

Answer: LCM of 724, 477, 690, 411, 714 is 647473971060.

2. How to calculate the LCM of 724, 477, 690, 411, 714?

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, 477, 690, 411, 714.

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}.