Given numbers are 224,442,169

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

The LCM of 224,442,169 is 643552.

Find LCM of 224,442,169 with Prime Factorization

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

2 x 13 x 112 x 17 x 13 = 643552

Therefore, the lowest common multiple of 224,442,169 is 643552.

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.

224 x 442 x 169 = 16732352

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.

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,442,169, is 1.

Now, the common factors can be found like this.

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

442:2x 13x 17

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 13 = 26

Therefore, the value for common factors is 26.

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 = 16732352/(1x26)

LCM = 16732352/26

LCM = 643552

Thus, we can understand that the LCM of 224,442,169 is 643552.

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

• LCM of 334, 782, 968
• LCM of 646, 742, 939
• LCM of 954, 439, 739
• LCM of 952, 122, 271
• LCM of 359, 812, 524

1. What is the LCM of 224, 442, 169?

Answer: LCM of 224, 442, 169 is 643552.

2. How to calculate the LCM of 224, 442, 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 224, 442, 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}.