Given numbers are 420,230,416,425,514

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

The LCM of 420,230,416,425,514 is 21946360800.

Find LCM of 420,230,416,425,514 with Prime Factorization

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

2 x 2 x 5 x 21 x 23 x 104 x 85 x 257 = 21946360800

Therefore, the lowest common multiple of 420,230,416,425,514 is 21946360800.

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.

420 x 230 x 416 x 425 x 514 = 8778544320000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

230 : 1, 2, 5, 10, 23, 46, 115, 230

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

425 : 1, 5, 17, 25, 85, 425

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,230,416,425,514, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

230:2x 5x 23

416:2x 2x 2x 2x 2x 13

425:5x 5x 17

514:2x 257

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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 8778544320000/(1x400)

LCM = 8778544320000/400

LCM = 21946360800

Thus, we can understand that the LCM of 420,230,416,425,514 is 21946360800.

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

• LCM of 363, 180, 230, 665, 618
• LCM of 943, 547, 870, 673, 886
• LCM of 871, 248, 536, 851, 391
• LCM of 330, 184, 703, 260, 559
• LCM of 231, 123, 117, 276, 275

1. What is the LCM of 420, 230, 416, 425, 514?

Answer: LCM of 420, 230, 416, 425, 514 is 21946360800.

2. How to calculate the LCM of 420, 230, 416, 425, 514?

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 420, 230, 416, 425, 514.

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}.