Given numbers are 361,169,220,984

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

The LCM of 361,169,220,984 is 3301807080.

Find LCM of 361,169,220,984 with Prime Factorization

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

2 x 2 x 361 x 169 x 55 x 246 = 3301807080

Therefore, the lowest common multiple of 361,169,220,984 is 3301807080.

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.

361 x 169 x 220 x 984 = 13207228320

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.

361 : 1, 19, 361

169 : 1, 13, 169

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,169,220,984, is 1.

Now, the common factors can be found like this.

361:19x 19

169:13x 13

220:2x 2x 5x 11

984:2x 2x 2x 3x 41

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 = 13207228320/(1x4)

LCM = 13207228320/4

LCM = 3301807080

Thus, we can understand that the LCM of 361,169,220,984 is 3301807080.

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

• LCM of 362, 993, 155, 271
• LCM of 388, 181, 224, 988
• LCM of 547, 360, 886, 390
• LCM of 327, 333, 821, 980
• LCM of 268, 537, 129, 743

1. What is the LCM of 361, 169, 220, 984?

Answer: LCM of 361, 169, 220, 984 is 3301807080.

2. How to calculate the LCM of 361, 169, 220, 984?

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 361, 169, 220, 984.

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}.