Given numbers are 395,782,208,420

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

The LCM of 395,782,208,420 is 674615760.

Find LCM of 395,782,208,420 with Prime Factorization

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

2 x 2 x 5 x 79 x 391 x 52 x 21 = 674615760

Therefore, the lowest common multiple of 395,782,208,420 is 674615760.

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.

395 x 782 x 208 x 420 = 26984630400

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.

395 : 1, 5, 79, 395

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,782,208,420, is 1.

Now, the common factors can be found like this.

395:5x 79

782:2x 17x 23

208:2x 2x 2x 2x 13

420:2x 2x 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 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 26984630400/(1x40)

LCM = 26984630400/40

LCM = 674615760

Thus, we can understand that the LCM of 395,782,208,420 is 674615760.

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

• LCM of 483, 429, 566, 893
• LCM of 245, 100, 854, 832
• LCM of 205, 174, 296, 890
• LCM of 481, 985, 448, 601
• LCM of 372, 357, 828, 507

1. What is the LCM of 395, 782, 208, 420?

Answer: LCM of 395, 782, 208, 420 is 674615760.

2. How to calculate the LCM of 395, 782, 208, 420?

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 395, 782, 208, 420.

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}.