Given numbers are 352,293,204,746

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

The LCM of 352,293,204,746 is 1961956128.

Find LCM of 352,293,204,746 with Prime Factorization

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

2 x 2 x 88 x 293 x 51 x 373 = 1961956128

Therefore, the lowest common multiple of 352,293,204,746 is 1961956128.

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 293 x 204 x 746 = 15695649024

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

293 : 1, 293

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,293,204,746, is 1.

Now, the common factors can be found like this.

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

293:293

204:2x 2x 3x 17

746:2x 373

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15695649024/(1x8)

LCM = 15695649024/8

LCM = 1961956128

Thus, we can understand that the LCM of 352,293,204,746 is 1961956128.

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

• LCM of 216, 450, 632, 584
• LCM of 377, 941, 841, 156
• LCM of 395, 698, 230, 891
• LCM of 384, 901, 140, 506
• LCM of 562, 384, 384, 301

1. What is the LCM of 352, 293, 204, 746?

Answer: LCM of 352, 293, 204, 746 is 1961956128.

2. How to calculate the LCM of 352, 293, 204, 746?

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, 293, 204, 746.

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}.