Given numbers are 560,410,930,565

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

The LCM of 560,410,930,565 is 241286640.

Find LCM of 560,410,930,565 with Prime Factorization

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

2 x 5 x 56 x 41 x 93 x 113 = 241286640

Therefore, the lowest common multiple of 560,410,930,565 is 241286640.

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 410 x 930 x 565 = 120643320000

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

565 : 1, 5, 113, 565

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,410,930,565, is 5.

Now, the common factors can be found like this.

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

410:2x 5x 41

930:2x 3x 5x 31

565:5x 113

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 120643320000/(5x100)

LCM = 120643320000/500

LCM = 241286640

Thus, we can understand that the LCM of 560,410,930,565 is 241286640.

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

• LCM of 911, 586, 716, 200
• LCM of 684, 671, 741, 325
• LCM of 309, 606, 158, 869
• LCM of 823, 502, 439, 678
• LCM of 584, 598, 163, 655

1. What is the LCM of 560, 410, 930, 565?

Answer: LCM of 560, 410, 930, 565 is 241286640.

2. How to calculate the LCM of 560, 410, 930, 565?

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, 410, 930, 565.

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}.