Given numbers are 460,626,349,262,470

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

The LCM of 460,626,349,262,470 is 309383216140.

Find LCM of 460,626,349,262,470 with Prime Factorization

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

2 x 5 x 46 x 313 x 349 x 131 x 47 = 309383216140

Therefore, the lowest common multiple of 460,626,349,262,470 is 309383216140.

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.

460 x 626 x 349 x 262 x 470 = 12375328645600

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

626 : 1, 2, 313, 626

349 : 1, 349

262 : 1, 2, 131, 262

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,626,349,262,470, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

626:2x 313

349:349

262:2x 131

470:2x 5x 47

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 5 = 40

Therefore, the value for common factors is 40.

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 = 12375328645600/(1x40)

LCM = 12375328645600/40

LCM = 309383216140

Thus, we can understand that the LCM of 460,626,349,262,470 is 309383216140.

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

• LCM of 912, 934, 253, 829, 283
• LCM of 381, 298, 782, 660, 250
• LCM of 404, 468, 756, 584, 843
• LCM of 618, 576, 656, 224, 972
• LCM of 185, 142, 873, 807, 855

1. What is the LCM of 460, 626, 349, 262, 470?

Answer: LCM of 460, 626, 349, 262, 470 is 309383216140.

2. How to calculate the LCM of 460, 626, 349, 262, 470?

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 460, 626, 349, 262, 470.

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}.