Given numbers are 567,442,440,514,739

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

The LCM of 567,442,440,514,739 is 10471419798840.

Find LCM of 567,442,440,514,739 with Prime Factorization

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

2 x 567 x 221 x 220 x 257 x 739 = 10471419798840

Therefore, the lowest common multiple of 567,442,440,514,739 is 10471419798840.

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.

567 x 442 x 440 x 514 x 739 = 41885679195360

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

442 : 1, 2, 13, 17, 26, 34, 221, 442

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

514 : 1, 2, 257, 514

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,442,440,514,739, is 1.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

442:2x 13x 17

440:2x 2x 2x 5x 11

514:2x 257

739:739

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 = 41885679195360/(1x4)

LCM = 41885679195360/4

LCM = 10471419798840

Thus, we can understand that the LCM of 567,442,440,514,739 is 10471419798840.

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

• LCM of 411, 673, 580, 362, 660
• LCM of 671, 751, 938, 537, 376
• LCM of 856, 604, 412, 154, 642
• LCM of 821, 570, 746, 708, 796
• LCM of 697, 422, 988, 849, 504

1. What is the LCM of 567, 442, 440, 514, 739?

Answer: LCM of 567, 442, 440, 514, 739 is 10471419798840.

2. How to calculate the LCM of 567, 442, 440, 514, 739?

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 567, 442, 440, 514, 739.

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}.