Given numbers are 642,845,450,690

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

The LCM of 642,845,450,690 is 187159050.

Find LCM of 642,845,450,690 with Prime Factorization

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

2 x 3 x 5 x 107 x 169 x 15 x 23 = 187159050

Therefore, the lowest common multiple of 642,845,450,690 is 187159050.

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.

642 x 845 x 450 x 690 = 168443145000

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.

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

845 : 1, 5, 13, 65, 169, 845

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,845,450,690, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

845:5x 13x 13

450:2x 3x 3x 5x 5

690:2x 3x 5x 23

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 168443145000/(1x900)

LCM = 168443145000/900

LCM = 187159050

Thus, we can understand that the LCM of 642,845,450,690 is 187159050.

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

• LCM of 990, 830, 164, 152
• LCM of 531, 154, 249, 132
• LCM of 385, 921, 360, 693
• LCM of 889, 421, 662, 775
• LCM of 820, 677, 644, 140

1. What is the LCM of 642, 845, 450, 690?

Answer: LCM of 642, 845, 450, 690 is 187159050.

2. How to calculate the LCM of 642, 845, 450, 690?

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 642, 845, 450, 690.

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}.