Given numbers are 644,467,343,540,536

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

The LCM of 644,467,343,540,536 is 266586034680.

Find LCM of 644,467,343,540,536 with Prime Factorization

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

2 x 2 x 7 x 23 x 467 x 49 x 135 x 134 = 266586034680

Therefore, the lowest common multiple of 644,467,343,540,536 is 266586034680.

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 467 x 343 x 540 x 536 = 29857635884160

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

467 : 1, 467

343 : 1, 7, 49, 343

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,467,343,540,536, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

467:467

343:7x 7x 7

540:2x 2x 3x 3x 3x 5

536:2x 2x 2x 67

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 7 = 112

Therefore, the value for common factors is 112.

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 = 29857635884160/(1x112)

LCM = 29857635884160/112

LCM = 266586034680

Thus, we can understand that the LCM of 644,467,343,540,536 is 266586034680.

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

• LCM of 784, 793, 366, 390, 616
• LCM of 993, 459, 510, 165, 513
• LCM of 345, 599, 478, 990, 634
• LCM of 233, 583, 180, 740, 763
• LCM of 355, 537, 234, 550, 292

1. What is the LCM of 644, 467, 343, 540, 536?

Answer: LCM of 644, 467, 343, 540, 536 is 266586034680.

2. How to calculate the LCM of 644, 467, 343, 540, 536?

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, 467, 343, 540, 536.

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}.