Given numbers are 592,189,221,316

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

The LCM of 592,189,221,316 is 1953452592.

Find LCM of 592,189,221,316 with Prime Factorization

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

2 x 2 x 148 x 189 x 221 x 79 = 1953452592

Therefore, the lowest common multiple of 592,189,221,316 is 1953452592.

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.

592 x 189 x 221 x 316 = 7813810368

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

189 : 1, 3, 7, 9, 21, 27, 63, 189

221 : 1, 13, 17, 221

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,189,221,316, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

189:3x 3x 3x 7

221:13x 17

316:2x 2x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7813810368/(1x4)

LCM = 7813810368/4

LCM = 1953452592

Thus, we can understand that the LCM of 592,189,221,316 is 1953452592.

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

• LCM of 359, 981, 294, 973
• LCM of 383, 296, 911, 897
• LCM of 421, 802, 577, 106
• LCM of 499, 102, 933, 589
• LCM of 659, 859, 148, 794

1. What is the LCM of 592, 189, 221, 316?

Answer: LCM of 592, 189, 221, 316 is 1953452592.

2. How to calculate the LCM of 592, 189, 221, 316?

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 592, 189, 221, 316.

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}.