Given numbers are 560,263,614,406,690

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

The LCM of 560,263,614,406,690 is 90475134960.

Find LCM of 560,263,614,406,690 with Prime Factorization

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

2 x 5 x 7 x 8 x 263 x 307 x 29 x 69 = 90475134960

Therefore, the lowest common multiple of 560,263,614,406,690 is 90475134960.

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.

560 x 263 x 614 x 406 x 690 = 25333037788800

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

263 : 1, 263

614 : 1, 2, 307, 614

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,263,614,406,690, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

263:263

614:2x 307

406:2x 7x 29

690:2x 3x 5x 23

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 7 = 280

Therefore, the value for common factors is 280.

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 = 25333037788800/(1x280)

LCM = 25333037788800/280

LCM = 90475134960

Thus, we can understand that the LCM of 560,263,614,406,690 is 90475134960.

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

• LCM of 684, 255, 490, 210, 110
• LCM of 439, 526, 338, 988, 808
• LCM of 495, 936, 276, 622, 567
• LCM of 360, 361, 143, 422, 669
• LCM of 818, 143, 909, 321, 924

1. What is the LCM of 560, 263, 614, 406, 690?

Answer: LCM of 560, 263, 614, 406, 690 is 90475134960.

2. How to calculate the LCM of 560, 263, 614, 406, 690?

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 560, 263, 614, 406, 690.

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}.