Given numbers are 352,252,358,238,688

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

The LCM of 352,252,358,238,688 is 2901707424.

Find LCM of 352,252,358,238,688 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 22 x 9 x 179 x 17 x 43 = 2901707424

Therefore, the lowest common multiple of 352,252,358,238,688 is 2901707424.

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.

352 x 252 x 358 x 238 x 688 = 5199859703808

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

358 : 1, 2, 179, 358

238 : 1, 2, 7, 14, 17, 34, 119, 238

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,252,358,238,688, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

252:2x 2x 3x 3x 7

358:2x 179

238:2x 7x 17

688:2x 2x 2x 2x 43

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 2x 2x 2x 7 = 896

Therefore, the value for common factors is 896.

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 = 5199859703808/(2x896)

LCM = 5199859703808/1792

LCM = 2901707424

Thus, we can understand that the LCM of 352,252,358,238,688 is 2901707424.

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

• LCM of 283, 674, 714, 479, 744
• LCM of 262, 271, 822, 967, 158
• LCM of 303, 595, 320, 212, 520
• LCM of 898, 716, 771, 242, 271
• LCM of 880, 360, 152, 613, 747

1. What is the LCM of 352, 252, 358, 238, 688?

Answer: LCM of 352, 252, 358, 238, 688 is 2901707424.

2. How to calculate the LCM of 352, 252, 358, 238, 688?

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 352, 252, 358, 238, 688.

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}.