Given numbers are 324,674,130,816,438

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

The LCM of 324,674,130,816,438 is 35230600080.

Find LCM of 324,674,130,816,438 with Prime Factorization

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

2 x 2 x 3 x 27 x 337 x 65 x 68 x 73 = 35230600080

Therefore, the lowest common multiple of 324,674,130,816,438 is 35230600080.

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.

324 x 674 x 130 x 816 x 438 = 10146412823040

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

674 : 1, 2, 337, 674

130 : 1, 2, 5, 10, 13, 26, 65, 130

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,674,130,816,438, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

674:2x 337

130:2x 5x 13

816:2x 2x 2x 2x 3x 17

438:2x 3x 73

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 10146412823040/(2x144)

LCM = 10146412823040/288

LCM = 35230600080

Thus, we can understand that the LCM of 324,674,130,816,438 is 35230600080.

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

• LCM of 185, 381, 594, 196, 597
• LCM of 493, 784, 813, 684, 695
• LCM of 944, 403, 132, 136, 489
• LCM of 972, 744, 222, 187, 458
• LCM of 210, 525, 305, 642, 618

1. What is the LCM of 324, 674, 130, 816, 438?

Answer: LCM of 324, 674, 130, 816, 438 is 35230600080.

2. How to calculate the LCM of 324, 674, 130, 816, 438?

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 324, 674, 130, 816, 438.

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}.