Given numbers are 478,420,562,686

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

The LCM of 478,420,562,686 is 1382132220.

Find LCM of 478,420,562,686 with Prime Factorization

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

2 x 7 x 239 x 30 x 281 x 49 = 1382132220

Therefore, the lowest common multiple of 478,420,562,686 is 1382132220.

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.

478 x 420 x 562 x 686 = 77399404320

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.

478 : 1, 2, 239, 478

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

562 : 1, 2, 281, 562

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,420,562,686, is 2.

Now, the common factors can be found like this.

478:2x 239

420:2x 2x 3x 5x 7

562:2x 281

686:2x 7x 7x 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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 77399404320/(2x28)

LCM = 77399404320/56

LCM = 1382132220

Thus, we can understand that the LCM of 478,420,562,686 is 1382132220.

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

• LCM of 140, 580, 522, 108
• LCM of 360, 409, 456, 133
• LCM of 214, 980, 945, 315
• LCM of 786, 849, 647, 712
• LCM of 760, 837, 699, 767

1. What is the LCM of 478, 420, 562, 686?

Answer: LCM of 478, 420, 562, 686 is 1382132220.

2. How to calculate the LCM of 478, 420, 562, 686?

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 478, 420, 562, 686.

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}.