Given numbers are 814,772,353,565,148

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

The LCM of 814,772,353,565,148 is 62666416780.

Find LCM of 814,772,353,565,148 with Prime Factorization

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

2 x 2 x 37 x 11 x 193 x 353 x 565 x 1 = 62666416780

Therefore, the lowest common multiple of 814,772,353,565,148 is 62666416780.

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.

814 x 772 x 353 x 565 x 148 = 18549259366880

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

772 : 1, 2, 4, 193, 386, 772

353 : 1, 353

565 : 1, 5, 113, 565

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,772,353,565,148, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

772:2x 2x 193

353:353

565:5x 113

148:2x 2x 37

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 37 = 296

Therefore, the value for common factors is 296.

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 = 18549259366880/(1x296)

LCM = 18549259366880/296

LCM = 62666416780

Thus, we can understand that the LCM of 814,772,353,565,148 is 62666416780.

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

• LCM of 510, 795, 665, 103, 978
• LCM of 981, 339, 580, 889, 364
• LCM of 387, 346, 794, 653, 456
• LCM of 561, 606, 222, 520, 305
• LCM of 300, 459, 733, 405, 627

1. What is the LCM of 814, 772, 353, 565, 148?

Answer: LCM of 814, 772, 353, 565, 148 is 62666416780.

2. How to calculate the LCM of 814, 772, 353, 565, 148?

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 814, 772, 353, 565, 148.

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}.