Given numbers are 471,473,814,578

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

The LCM of 471,473,814,578 is 4764437238.

Find LCM of 471,473,814,578 with Prime Factorization

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

2 x 11 x 471 x 43 x 37 x 289 = 4764437238

Therefore, the lowest common multiple of 471,473,814,578 is 4764437238.

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.

471 x 473 x 814 x 578 = 104817619236

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.

471 : 1, 3, 157, 471

473 : 1, 11, 43, 473

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

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,473,814,578, is 1.

Now, the common factors can be found like this.

471:3x 157

473:11x 43

814:2x 11x 37

578:2x 17x 17

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 104817619236/(1x22)

LCM = 104817619236/22

LCM = 4764437238

Thus, we can understand that the LCM of 471,473,814,578 is 4764437238.

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

• LCM of 472, 982, 612, 612
• LCM of 345, 681, 552, 376
• LCM of 461, 303, 835, 173
• LCM of 758, 316, 175, 103
• LCM of 919, 403, 297, 886

1. What is the LCM of 471, 473, 814, 578?

Answer: LCM of 471, 473, 814, 578 is 4764437238.

2. How to calculate the LCM of 471, 473, 814, 578?

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 471, 473, 814, 578.

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}.