Given numbers are 414,980,358,646,642

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

The LCM of 414,980,358,646,642 is 1254976958340.

Find LCM of 414,980,358,646,642 with Prime Factorization

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

2 x 3 x 69 x 490 x 179 x 323 x 107 = 1254976958340

Therefore, the lowest common multiple of 414,980,358,646,642 is 1254976958340.

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.

414 x 980 x 358 x 646 x 642 = 60238894000320

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

358 : 1, 2, 179, 358

646 : 1, 2, 17, 19, 34, 38, 323, 646

642 : 1, 2, 3, 6, 107, 214, 321, 642

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,980,358,646,642, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

980:2x 2x 5x 7x 7

358:2x 179

646:2x 17x 19

642:2x 3x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 60238894000320/(2x24)

LCM = 60238894000320/48

LCM = 1254976958340

Thus, we can understand that the LCM of 414,980,358,646,642 is 1254976958340.

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

• LCM of 647, 114, 447, 988, 685
• LCM of 299, 264, 183, 808, 433
• LCM of 942, 916, 958, 471, 256
• LCM of 607, 915, 759, 101, 251
• LCM of 529, 918, 474, 564, 176

1. What is the LCM of 414, 980, 358, 646, 642?

Answer: LCM of 414, 980, 358, 646, 642 is 1254976958340.

2. How to calculate the LCM of 414, 980, 358, 646, 642?

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 414, 980, 358, 646, 642.

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}.