Given numbers are 578,128,731,716

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

The LCM of 578,128,731,716 is 284727424.

Find LCM of 578,128,731,716 with Prime Factorization

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

2 x 2 x 17 x 17 x 32 x 43 x 179 = 284727424

Therefore, the lowest common multiple of 578,128,731,716 is 284727424.

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.

578 x 128 x 731 x 716 = 38722929664

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.

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

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

731 : 1, 17, 43, 731

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,128,731,716, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

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

731:17x 43

716:2x 2x 179

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 17 = 136

Therefore, the value for common factors is 136.

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 = 38722929664/(1x136)

LCM = 38722929664/136

LCM = 284727424

Thus, we can understand that the LCM of 578,128,731,716 is 284727424.

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

• LCM of 131, 666, 863, 905
• LCM of 653, 574, 532, 518
• LCM of 795, 933, 335, 752
• LCM of 925, 571, 374, 437
• LCM of 814, 976, 182, 766

1. What is the LCM of 578, 128, 731, 716?

Answer: LCM of 578, 128, 731, 716 is 284727424.

2. How to calculate the LCM of 578, 128, 731, 716?

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 578, 128, 731, 716.

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}.