Given numbers are 676,421,416,364,214

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

The LCM of 676,421,416,364,214 is 1705299232.

Find LCM of 676,421,416,364,214 with Prime Factorization

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

2 x 2 x 13 x 13 x 421 x 8 x 7 x 107 = 1705299232

Therefore, the lowest common multiple of 676,421,416,364,214 is 1705299232.

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.

676 x 421 x 416 x 364 x 214 = 9222258246656

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

421 : 1, 421

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,421,416,364,214, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

421:421

416:2x 2x 2x 2x 2x 13

364:2x 2x 7x 13

214:2x 107

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 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 9222258246656/(1x5408)

LCM = 9222258246656/5408

LCM = 1705299232

Thus, we can understand that the LCM of 676,421,416,364,214 is 1705299232.

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

• LCM of 101, 269, 310, 739, 827
• LCM of 184, 399, 222, 704, 844
• LCM of 310, 862, 477, 510, 783
• LCM of 928, 982, 478, 192, 931
• LCM of 500, 672, 882, 815, 991

1. What is the LCM of 676, 421, 416, 364, 214?

Answer: LCM of 676, 421, 416, 364, 214 is 1705299232.

2. How to calculate the LCM of 676, 421, 416, 364, 214?

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 676, 421, 416, 364, 214.

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}.