Given numbers are 668,400,292,461,271

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

The LCM of 668,400,292,461,271 is 609213528400.

Find LCM of 668,400,292,461,271 with Prime Factorization

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

2 x 2 x 167 x 100 x 73 x 461 x 271 = 609213528400

Therefore, the lowest common multiple of 668,400,292,461,271 is 609213528400.

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.

668 x 400 x 292 x 461 x 271 = 9747416454400

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.

668 : 1, 2, 4, 167, 334, 668

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

292 : 1, 2, 4, 73, 146, 292

461 : 1, 461

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,400,292,461,271, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

400:2x 2x 2x 2x 5x 5

292:2x 2x 73

461:461

271:271

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9747416454400/(1x16)

LCM = 9747416454400/16

LCM = 609213528400

Thus, we can understand that the LCM of 668,400,292,461,271 is 609213528400.

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

• LCM of 120, 776, 103, 708, 338
• LCM of 830, 759, 784, 567, 967
• LCM of 683, 823, 180, 298, 683
• LCM of 654, 899, 220, 503, 636
• LCM of 502, 274, 797, 829, 398

1. What is the LCM of 668, 400, 292, 461, 271?

Answer: LCM of 668, 400, 292, 461, 271 is 609213528400.

2. How to calculate the LCM of 668, 400, 292, 461, 271?

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 668, 400, 292, 461, 271.

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}.