Given numbers are 440,374,715,759,340

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

The LCM of 440,374,715,759,340 is 6709560.

Find LCM of 440,374,715,759,340 with Prime Factorization

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

2 x 2 x 5 x 11 x 17 x 2 x 1 x 13 x 69 x 1 = 6709560

Therefore, the lowest common multiple of 440,374,715,759,340 is 6709560.

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.

440 x 374 x 715 x 759 x 340 = 30363442824000

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.

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

715 : 1, 5, 11, 13, 55, 65, 143, 715

759 : 1, 3, 11, 23, 33, 69, 253, 759

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,374,715,759,340, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

374:2x 11x 17

715:5x 11x 13

759:3x 11x 23

340:2x 2x 5x 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 2x 5x 5x 11x 11x 11x 17 = 4525400

Therefore, the value for common factors is 4525400.

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 = 30363442824000/(1x4525400)

LCM = 30363442824000/4525400

LCM = 6709560

Thus, we can understand that the LCM of 440,374,715,759,340 is 6709560.

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

• LCM of 409, 309, 244, 602, 757
• LCM of 392, 817, 164, 773, 954
• LCM of 725, 317, 629, 541, 748
• LCM of 298, 194, 904, 654, 184
• LCM of 947, 329, 539, 197, 857

1. What is the LCM of 440, 374, 715, 759, 340?

Answer: LCM of 440, 374, 715, 759, 340 is 6709560.

2. How to calculate the LCM of 440, 374, 715, 759, 340?

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 440, 374, 715, 759, 340.

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}.