Given numbers are 489,507,138,667,925

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

The LCM of 489,507,138,667,925 is 101974861950.

Find LCM of 489,507,138,667,925 with Prime Factorization

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

3 x 23 x 163 x 169 x 2 x 29 x 925 = 101974861950

Therefore, the lowest common multiple of 489,507,138,667,925 is 101974861950.

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.

489 x 507 x 138 x 667 x 925 = 21108796423650

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.

489 : 1, 3, 163, 489

507 : 1, 3, 13, 39, 169, 507

138 : 1, 2, 3, 6, 23, 46, 69, 138

667 : 1, 23, 29, 667

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,507,138,667,925, is 1.

Now, the common factors can be found like this.

489:3x 163

507:3x 13x 13

138:2x 3x 23

667:23x 29

925:5x 5x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 21108796423650/(1x207)

LCM = 21108796423650/207

LCM = 101974861950

Thus, we can understand that the LCM of 489,507,138,667,925 is 101974861950.

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

• LCM of 815, 309, 810, 669, 677
• LCM of 921, 405, 710, 537, 260
• LCM of 807, 575, 456, 418, 632
• LCM of 776, 192, 764, 937, 722
• LCM of 501, 698, 271, 994, 169

1. What is the LCM of 489, 507, 138, 667, 925?

Answer: LCM of 489, 507, 138, 667, 925 is 101974861950.

2. How to calculate the LCM of 489, 507, 138, 667, 925?

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 489, 507, 138, 667, 925.

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}.