Given numbers are 235,464,224,169

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

The LCM of 235,464,224,169 is 257988640.

Find LCM of 235,464,224,169 with Prime Factorization

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

2 x 2 x 2 x 2 x 235 x 29 x 14 x 169 = 257988640

Therefore, the lowest common multiple of 235,464,224,169 is 257988640.

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.

235 x 464 x 224 x 169 = 4127818240

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.

235 : 1, 5, 47, 235

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,464,224,169, is 1.

Now, the common factors can be found like this.

235:5x 47

464:2x 2x 2x 2x 29

224:2x 2x 2x 2x 2x 7

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 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 4127818240/(1x16)

LCM = 4127818240/16

LCM = 257988640

Thus, we can understand that the LCM of 235,464,224,169 is 257988640.

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

• LCM of 267, 207, 517, 223
• LCM of 789, 665, 748, 348
• LCM of 772, 244, 675, 552
• LCM of 171, 363, 496, 115
• LCM of 135, 196, 194, 737

1. What is the LCM of 235, 464, 224, 169?

Answer: LCM of 235, 464, 224, 169 is 257988640.

2. How to calculate the LCM of 235, 464, 224, 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 235, 464, 224, 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}.