Given numbers are 871,414,347,420,654

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

The LCM of 871,414,347,420,654 is 954712280340.

Find LCM of 871,414,347,420,654 with Prime Factorization

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

2 x 3 x 871 x 69 x 347 x 70 x 109 = 954712280340

Therefore, the lowest common multiple of 871,414,347,420,654 is 954712280340.

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.

871 x 414 x 347 x 420 x 654 = 34369642092240

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.

871 : 1, 13, 67, 871

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

347 : 1, 347

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,414,347,420,654, is 1.

Now, the common factors can be found like this.

871:13x 67

414:2x 3x 3x 23

347:347

420:2x 2x 3x 5x 7

654:2x 3x 109

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 34369642092240/(1x36)

LCM = 34369642092240/36

LCM = 954712280340

Thus, we can understand that the LCM of 871,414,347,420,654 is 954712280340.

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

• LCM of 372, 600, 678, 277, 655
• LCM of 345, 458, 503, 753, 666
• LCM of 899, 671, 210, 836, 390
• LCM of 229, 715, 774, 149, 839
• LCM of 544, 678, 948, 434, 355

1. What is the LCM of 871, 414, 347, 420, 654?

Answer: LCM of 871, 414, 347, 420, 654 is 954712280340.

2. How to calculate the LCM of 871, 414, 347, 420, 654?

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 871, 414, 347, 420, 654.

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}.