Given numbers are 420,407,361,406,706

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

The LCM of 420,407,361,406,706 is 631718513580.

Find LCM of 420,407,361,406,706 with Prime Factorization

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

2 x 7 x 30 x 407 x 361 x 29 x 353 = 631718513580

Therefore, the lowest common multiple of 420,407,361,406,706 is 631718513580.

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.

420 x 407 x 361 x 406 x 706 = 17688118380240

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.

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

407 : 1, 11, 37, 407

361 : 1, 19, 361

406 : 1, 2, 7, 14, 29, 58, 203, 406

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,407,361,406,706, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

407:11x 37

361:19x 19

406:2x 7x 29

706:2x 353

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 7 = 28

Therefore, the value for common factors is 28.

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 = 17688118380240/(1x28)

LCM = 17688118380240/28

LCM = 631718513580

Thus, we can understand that the LCM of 420,407,361,406,706 is 631718513580.

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

• LCM of 906, 182, 292, 483, 321
• LCM of 136, 839, 834, 268, 150
• LCM of 400, 785, 432, 269, 929
• LCM of 126, 286, 570, 532, 635
• LCM of 224, 629, 932, 398, 224

1. What is the LCM of 420, 407, 361, 406, 706?

Answer: LCM of 420, 407, 361, 406, 706 is 631718513580.

2. How to calculate the LCM of 420, 407, 361, 406, 706?

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 420, 407, 361, 406, 706.

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}.