Given numbers are 714,341,708,352

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

The LCM of 714,341,708,352 is 229839456.

Find LCM of 714,341,708,352 with Prime Factorization

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

2 x 2 x 3 x 11 x 119 x 31 x 59 x 8 = 229839456

Therefore, the lowest common multiple of 714,341,708,352 is 229839456.

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.

714 x 341 x 708 x 352 = 60677616384

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

341 : 1, 11, 31, 341

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,341,708,352, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

341:11x 31

708:2x 2x 3x 59

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

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 60677616384/(1x264)

LCM = 60677616384/264

LCM = 229839456

Thus, we can understand that the LCM of 714,341,708,352 is 229839456.

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

• LCM of 146, 812, 143, 451
• LCM of 519, 198, 914, 623
• LCM of 521, 227, 158, 431
• LCM of 893, 443, 762, 918
• LCM of 812, 932, 758, 845

1. What is the LCM of 714, 341, 708, 352?

Answer: LCM of 714, 341, 708, 352 is 229839456.

2. How to calculate the LCM of 714, 341, 708, 352?

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 714, 341, 708, 352.

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}.