Given numbers are 365,412,137,312,634

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

The LCM of 365,412,137,312,634 is 509406535560.

Find LCM of 365,412,137,312,634 with Prime Factorization

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

2 x 2 x 365 x 103 x 137 x 78 x 317 = 509406535560

Therefore, the lowest common multiple of 365,412,137,312,634 is 509406535560.

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.

365 x 412 x 137 x 312 x 634 = 4075252284480

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.

365 : 1, 5, 73, 365

412 : 1, 2, 4, 103, 206, 412

137 : 1, 137

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,412,137,312,634, is 1.

Now, the common factors can be found like this.

365:5x 73

412:2x 2x 103

137:137

312:2x 2x 2x 3x 13

634:2x 317

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4075252284480/(1x8)

LCM = 4075252284480/8

LCM = 509406535560

Thus, we can understand that the LCM of 365,412,137,312,634 is 509406535560.

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

• LCM of 778, 986, 812, 573, 211
• LCM of 877, 648, 289, 346, 237
• LCM of 238, 457, 673, 261, 980
• LCM of 116, 585, 637, 945, 154
• LCM of 681, 129, 271, 311, 920

1. What is the LCM of 365, 412, 137, 312, 634?

Answer: LCM of 365, 412, 137, 312, 634 is 509406535560.

2. How to calculate the LCM of 365, 412, 137, 312, 634?

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 365, 412, 137, 312, 634.

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}.