Given numbers are 496,209,138,953,589

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

The LCM of 496,209,138,953,589 is 6816633648.

Find LCM of 496,209,138,953,589 with Prime Factorization

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

2 x 19 x 31 x 8 x 11 x 69 x 953 x 1 = 6816633648

Therefore, the lowest common multiple of 496,209,138,953,589 is 6816633648.

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.

496 x 209 x 138 x 953 x 589 = 8029994437344

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

209 : 1, 11, 19, 209

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

953 : 1, 953

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,209,138,953,589, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

209:11x 19

138:2x 3x 23

953:953

589:19x 31

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

2x 19x 31 = 1178

Therefore, the value for common factors is 1178.

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 = 8029994437344/(1x1178)

LCM = 8029994437344/1178

LCM = 6816633648

Thus, we can understand that the LCM of 496,209,138,953,589 is 6816633648.

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

• LCM of 169, 814, 938, 918, 432
• LCM of 548, 195, 164, 789, 273
• LCM of 492, 932, 231, 579, 884
• LCM of 649, 992, 660, 873, 338
• LCM of 638, 219, 465, 602, 743

1. What is the LCM of 496, 209, 138, 953, 589?

Answer: LCM of 496, 209, 138, 953, 589 is 6816633648.

2. How to calculate the LCM of 496, 209, 138, 953, 589?

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 496, 209, 138, 953, 589.

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}.