Given numbers are 900,382,424,542,691

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

The LCM of 900,382,424,542,691 is 3412157585400.

Find LCM of 900,382,424,542,691 with Prime Factorization

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

2 x 2 x 225 x 191 x 106 x 271 x 691 = 3412157585400

Therefore, the lowest common multiple of 900,382,424,542,691 is 3412157585400.

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.

900 x 382 x 424 x 542 x 691 = 54594521366400

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

382 : 1, 2, 191, 382

424 : 1, 2, 4, 8, 53, 106, 212, 424

542 : 1, 2, 271, 542

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,382,424,542,691, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

382:2x 191

424:2x 2x 2x 53

542:2x 271

691:691

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 2 = 16

Therefore, the value for common factors is 16.

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 = 54594521366400/(1x16)

LCM = 54594521366400/16

LCM = 3412157585400

Thus, we can understand that the LCM of 900,382,424,542,691 is 3412157585400.

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

• LCM of 244, 339, 942, 432, 770
• LCM of 964, 149, 634, 374, 351
• LCM of 467, 782, 362, 218, 967
• LCM of 992, 741, 746, 211, 212
• LCM of 521, 649, 572, 496, 964

1. What is the LCM of 900, 382, 424, 542, 691?

Answer: LCM of 900, 382, 424, 542, 691 is 3412157585400.

2. How to calculate the LCM of 900, 382, 424, 542, 691?

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 900, 382, 424, 542, 691.

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}.