Given numbers are 145,128,496,841

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

The LCM of 145,128,496,841 is 16685440.

Find LCM of 145,128,496,841 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 5 x 8 x 31 x 29 = 16685440

Therefore, the lowest common multiple of 145,128,496,841 is 16685440.

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.

145 x 128 x 496 x 841 = 7742044160

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.

145 : 1, 5, 29, 145

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,128,496,841, is 1.

Now, the common factors can be found like this.

145:5x 29

128:2x 2x 2x 2x 2x 2x 2

496:2x 2x 2x 2x 31

841:29x 29

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 29 = 464

Therefore, the value for common factors is 464.

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 = 7742044160/(1x464)

LCM = 7742044160/464

LCM = 16685440

Thus, we can understand that the LCM of 145,128,496,841 is 16685440.

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

• LCM of 349, 519, 510, 283
• LCM of 391, 992, 588, 317
• LCM of 305, 706, 643, 642
• LCM of 245, 162, 279, 846
• LCM of 314, 967, 293, 637

1. What is the LCM of 145, 128, 496, 841?

Answer: LCM of 145, 128, 496, 841 is 16685440.

2. How to calculate the LCM of 145, 128, 496, 841?

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 145, 128, 496, 841.

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}.