Given numbers are 644,137,590,121,567

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

The LCM of 644,137,590,121,567 is 255093175260.

Find LCM of 644,137,590,121,567 with Prime Factorization

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

2 x 7 x 46 x 137 x 295 x 121 x 81 = 255093175260

Therefore, the lowest common multiple of 644,137,590,121,567 is 255093175260.

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.

644 x 137 x 590 x 121 x 567 = 3571304453640

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

137 : 1, 137

590 : 1, 2, 5, 10, 59, 118, 295, 590

121 : 1, 11, 121

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,137,590,121,567, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

137:137

590:2x 5x 59

121:11x 11

567:3x 3x 3x 3x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 3571304453640/(1x14)

LCM = 3571304453640/14

LCM = 255093175260

Thus, we can understand that the LCM of 644,137,590,121,567 is 255093175260.

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

• LCM of 215, 156, 583, 355, 673
• LCM of 348, 969, 714, 443, 774
• LCM of 903, 600, 410, 223, 737
• LCM of 871, 725, 100, 176, 231
• LCM of 958, 288, 472, 576, 553

1. What is the LCM of 644, 137, 590, 121, 567?

Answer: LCM of 644, 137, 590, 121, 567 is 255093175260.

2. How to calculate the LCM of 644, 137, 590, 121, 567?

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 644, 137, 590, 121, 567.

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}.