Given numbers are 217,596,116,169

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

The LCM of 217,596,116,169 is 633856132.

Find LCM of 217,596,116,169 with Prime Factorization

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

2 x 2 x 217 x 149 x 29 x 169 = 633856132

Therefore, the lowest common multiple of 217,596,116,169 is 633856132.

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.

217 x 596 x 116 x 169 = 2535424528

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.

217 : 1, 7, 31, 217

596 : 1, 2, 4, 149, 298, 596

116 : 1, 2, 4, 29, 58, 116

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,596,116,169, is 1.

Now, the common factors can be found like this.

217:7x 31

596:2x 2x 149

116:2x 2x 29

169:13x 13

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 = 2535424528/(1x4)

LCM = 2535424528/4

LCM = 633856132

Thus, we can understand that the LCM of 217,596,116,169 is 633856132.

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

• LCM of 542, 560, 661, 566
• LCM of 812, 545, 425, 317
• LCM of 233, 243, 927, 832
• LCM of 566, 616, 529, 255
• LCM of 364, 209, 766, 490

1. What is the LCM of 217, 596, 116, 169?

Answer: LCM of 217, 596, 116, 169 is 633856132.

2. How to calculate the LCM of 217, 596, 116, 169?

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 217, 596, 116, 169.

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}.