Given numbers are 565,145,800,403,630

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

The LCM of 565,145,800,403,630 is 66559802400.

Find LCM of 565,145,800,403,630 with Prime Factorization

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

2 x 5 x 113 x 29 x 80 x 403 x 63 = 66559802400

Therefore, the lowest common multiple of 565,145,800,403,630 is 66559802400.

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.

565 x 145 x 800 x 403 x 630 = 16639950600000

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.

565 : 1, 5, 113, 565

145 : 1, 5, 29, 145

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

403 : 1, 13, 31, 403

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,145,800,403,630, is 1.

Now, the common factors can be found like this.

565:5x 113

145:5x 29

800:2x 2x 2x 2x 2x 5x 5

403:13x 31

630:2x 3x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 16639950600000/(1x250)

LCM = 16639950600000/250

LCM = 66559802400

Thus, we can understand that the LCM of 565,145,800,403,630 is 66559802400.

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

• LCM of 312, 558, 935, 788, 179
• LCM of 720, 186, 116, 229, 223
• LCM of 542, 811, 121, 197, 876
• LCM of 452, 216, 321, 796, 927
• LCM of 403, 188, 884, 600, 330

1. What is the LCM of 565, 145, 800, 403, 630?

Answer: LCM of 565, 145, 800, 403, 630 is 66559802400.

2. How to calculate the LCM of 565, 145, 800, 403, 630?

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 565, 145, 800, 403, 630.

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}.