Given numbers are 224,157,348,290,354

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

The LCM of 224,157,348,290,354 is 902586720.

Find LCM of 224,157,348,290,354 with Prime Factorization

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

2 x 2 x 3 x 29 x 56 x 157 x 1 x 5 x 59 = 902586720

Therefore, the lowest common multiple of 224,157,348,290,354 is 902586720.

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 157 x 348 x 290 x 354 = 1256400714240

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

157 : 1, 157

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

290 : 1, 2, 5, 10, 29, 58, 145, 290

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,157,348,290,354, is 1.

Now, the common factors can be found like this.

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

157:157

348:2x 2x 3x 29

290:2x 5x 29

354:2x 3x 59

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 2x 3x 29 = 1392

Therefore, the value for common factors is 1392.

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 = 1256400714240/(1x1392)

LCM = 1256400714240/1392

LCM = 902586720

Thus, we can understand that the LCM of 224,157,348,290,354 is 902586720.

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

• LCM of 388, 825, 432, 601, 903
• LCM of 759, 965, 773, 657, 384
• LCM of 413, 330, 311, 627, 645
• LCM of 275, 320, 502, 594, 134
• LCM of 707, 917, 537, 300, 437

1. What is the LCM of 224, 157, 348, 290, 354?

Answer: LCM of 224, 157, 348, 290, 354 is 902586720.

2. How to calculate the LCM of 224, 157, 348, 290, 354?

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, 157, 348, 290, 354.

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}.