Given numbers are 714,816,194,353,682

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

The LCM of 714,816,194,353,682 is 66694345872.

Find LCM of 714,816,194,353,682 with Prime Factorization

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

2 x 3 x 17 x 7 x 8 x 97 x 353 x 341 = 66694345872

Therefore, the lowest common multiple of 714,816,194,353,682 is 66694345872.

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 816 x 194 x 353 x 682 = 27211293115776

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

194 : 1, 2, 97, 194

353 : 1, 353

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,816,194,353,682, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

816:2x 2x 2x 2x 3x 17

194:2x 97

353:353

682:2x 11x 31

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 17 = 408

Therefore, the value for common factors is 408.

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 = 27211293115776/(1x408)

LCM = 27211293115776/408

LCM = 66694345872

Thus, we can understand that the LCM of 714,816,194,353,682 is 66694345872.

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

• LCM of 737, 476, 733, 327, 428
• LCM of 797, 608, 970, 526, 360
• LCM of 593, 236, 374, 150, 974
• LCM of 251, 569, 306, 870, 212
• LCM of 996, 576, 177, 454, 329

1. What is the LCM of 714, 816, 194, 353, 682?

Answer: LCM of 714, 816, 194, 353, 682 is 66694345872.

2. How to calculate the LCM of 714, 816, 194, 353, 682?

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, 816, 194, 353, 682.

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}.