Given numbers are 421,170,918,722,442

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

The LCM of 421,170,918,722,442 is 9068706270.

Find LCM of 421,170,918,722,442 with Prime Factorization

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

2 x 17 x 421 x 5 x 27 x 361 x 13 = 9068706270

Therefore, the lowest common multiple of 421,170,918,722,442 is 9068706270.

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.

421 x 170 x 918 x 722 x 442 = 20966848896240

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.

421 : 1, 421

170 : 1, 2, 5, 10, 17, 34, 85, 170

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

722 : 1, 2, 19, 38, 361, 722

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,170,918,722,442, is 1.

Now, the common factors can be found like this.

421:421

170:2x 5x 17

918:2x 3x 3x 3x 17

722:2x 19x 19

442:2x 13x 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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 20966848896240/(1x2312)

LCM = 20966848896240/2312

LCM = 9068706270

Thus, we can understand that the LCM of 421,170,918,722,442 is 9068706270.

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

• LCM of 824, 426, 517, 196, 963
• LCM of 584, 677, 942, 377, 296
• LCM of 674, 282, 741, 770, 710
• LCM of 537, 141, 506, 361, 725
• LCM of 678, 997, 380, 821, 936

1. What is the LCM of 421, 170, 918, 722, 442?

Answer: LCM of 421, 170, 918, 722, 442 is 9068706270.

2. How to calculate the LCM of 421, 170, 918, 722, 442?

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 421, 170, 918, 722, 442.

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}.