Given numbers are 214,377,676,174,682

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

The LCM of 214,377,676,174,682 is 2145873444.

Find LCM of 214,377,676,174,682 with Prime Factorization

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

2 x 13 x 29 x 107 x 1 x 26 x 3 x 341 = 2145873444

Therefore, the lowest common multiple of 214,377,676,174,682 is 2145873444.

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.

214 x 377 x 676 x 174 x 682 = 6471954307104

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.

214 : 1, 2, 107, 214

377 : 1, 13, 29, 377

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

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 214,377,676,174,682, is 1.

Now, the common factors can be found like this.

214:2x 107

377:13x 29

676:2x 2x 13x 13

174:2x 3x 29

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 13x 29 = 3016

Therefore, the value for common factors is 3016.

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 = 6471954307104/(1x3016)

LCM = 6471954307104/3016

LCM = 2145873444

Thus, we can understand that the LCM of 214,377,676,174,682 is 2145873444.

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

• LCM of 827, 972, 557, 565, 169
• LCM of 868, 208, 441, 866, 889
• LCM of 257, 756, 112, 103, 606
• LCM of 887, 645, 822, 934, 144
• LCM of 837, 544, 709, 869, 237

1. What is the LCM of 214, 377, 676, 174, 682?

Answer: LCM of 214, 377, 676, 174, 682 is 2145873444.

2. How to calculate the LCM of 214, 377, 676, 174, 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 214, 377, 676, 174, 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}.