Given numbers are 460,673,850,341,349

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

The LCM of 460,673,850,341,349 is 3131638528700.

Find LCM of 460,673,850,341,349 with Prime Factorization

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

2 x 5 x 46 x 673 x 85 x 341 x 349 = 3131638528700

Therefore, the lowest common multiple of 460,673,850,341,349 is 3131638528700.

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 673 x 850 x 341 x 349 = 31316385287000

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

673 : 1, 673

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

341 : 1, 11, 31, 341

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,673,850,341,349, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

673:673

850:2x 5x 5x 17

341:11x 31

349:349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 31316385287000/(1x10)

LCM = 31316385287000/10

LCM = 3131638528700

Thus, we can understand that the LCM of 460,673,850,341,349 is 3131638528700.

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

• LCM of 185, 468, 688, 168, 815
• LCM of 375, 315, 412, 644, 274
• LCM of 566, 610, 371, 993, 635
• LCM of 419, 627, 835, 975, 187
• LCM of 300, 473, 713, 930, 281

1. What is the LCM of 460, 673, 850, 341, 349?

Answer: LCM of 460, 673, 850, 341, 349 is 3131638528700.

2. How to calculate the LCM of 460, 673, 850, 341, 349?

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, 673, 850, 341, 349.

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}.