Given numbers are 420,393,397,888,714

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

The LCM of 420,393,397,888,714 is 27478418520.

Find LCM of 420,393,397,888,714 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 131 x 397 x 74 x 17 = 27478418520

Therefore, the lowest common multiple of 420,393,397,888,714 is 27478418520.

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 393 x 397 x 888 x 714 = 41547368802240

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

393 : 1, 3, 131, 393

397 : 1, 397

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,393,397,888,714, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

393:3x 131

397:397

888:2x 2x 2x 3x 37

714:2x 3x 7x 17

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 41547368802240/(1x1512)

LCM = 41547368802240/1512

LCM = 27478418520

Thus, we can understand that the LCM of 420,393,397,888,714 is 27478418520.

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

• LCM of 859, 762, 552, 642, 606
• LCM of 438, 397, 193, 115, 898
• LCM of 393, 929, 287, 694, 607
• LCM of 916, 883, 970, 602, 105
• LCM of 738, 388, 465, 738, 447

1. What is the LCM of 420, 393, 397, 888, 714?

Answer: LCM of 420, 393, 397, 888, 714 is 27478418520.

2. How to calculate the LCM of 420, 393, 397, 888, 714?

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, 393, 397, 888, 714.

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}.