Given numbers are 564,578,365,267

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

The LCM of 564,578,365,267 is 5294925060.

Find LCM of 564,578,365,267 with Prime Factorization

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

2 x 3 x 94 x 289 x 365 x 89 = 5294925060

Therefore, the lowest common multiple of 564,578,365,267 is 5294925060.

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.

564 x 578 x 365 x 267 = 31769550360

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

365 : 1, 5, 73, 365

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,578,365,267, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

578:2x 17x 17

365:5x 73

267:3x 89

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31769550360/(1x6)

LCM = 31769550360/6

LCM = 5294925060

Thus, we can understand that the LCM of 564,578,365,267 is 5294925060.

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

• LCM of 758, 940, 127, 229
• LCM of 916, 772, 107, 492
• LCM of 269, 331, 298, 325
• LCM of 416, 672, 290, 243
• LCM of 196, 378, 948, 232

1. What is the LCM of 564, 578, 365, 267?

Answer: LCM of 564, 578, 365, 267 is 5294925060.

2. How to calculate the LCM of 564, 578, 365, 267?

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 564, 578, 365, 267.

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}.