Given numbers are 696,121,420,756,849

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

The LCM of 696,121,420,756,849 is 7507435320.

Find LCM of 696,121,420,756,849 with Prime Factorization

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

2 x 2 x 3 x 7 x 58 x 121 x 5 x 9 x 283 = 7507435320

Therefore, the lowest common multiple of 696,121,420,756,849 is 7507435320.

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.

696 x 121 x 420 x 756 x 849 = 22702484407680

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

121 : 1, 11, 121

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,121,420,756,849, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

121:11x 11

420:2x 2x 3x 5x 7

756:2x 2x 3x 3x 3x 7

849:3x 283

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 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 22702484407680/(1x3024)

LCM = 22702484407680/3024

LCM = 7507435320

Thus, we can understand that the LCM of 696,121,420,756,849 is 7507435320.

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

• LCM of 960, 302, 852, 433, 204
• LCM of 890, 706, 134, 243, 703
• LCM of 359, 505, 352, 670, 211
• LCM of 435, 715, 300, 259, 751
• LCM of 852, 641, 653, 415, 306

1. What is the LCM of 696, 121, 420, 756, 849?

Answer: LCM of 696, 121, 420, 756, 849 is 7507435320.

2. How to calculate the LCM of 696, 121, 420, 756, 849?

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 696, 121, 420, 756, 849.

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}.