Given numbers are 420,366,946,138,656

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

The LCM of 420,366,946,138,656 is 45710076720.

Find LCM of 420,366,946,138,656 with Prime Factorization

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

2 x 2 x 3 x 35 x 61 x 473 x 23 x 164 = 45710076720

Therefore, the lowest common multiple of 420,366,946,138,656 is 45710076720.

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 366 x 946 x 138 x 656 = 13164502095360

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

946 : 1, 2, 11, 22, 43, 86, 473, 946

138 : 1, 2, 3, 6, 23, 46, 69, 138

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,366,946,138,656, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

366:2x 3x 61

946:2x 11x 43

138:2x 3x 23

656:2x 2x 2x 2x 41

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 13164502095360/(2x144)

LCM = 13164502095360/288

LCM = 45710076720

Thus, we can understand that the LCM of 420,366,946,138,656 is 45710076720.

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

• LCM of 317, 109, 633, 563, 528
• LCM of 462, 322, 979, 896, 988
• LCM of 290, 344, 358, 854, 726
• LCM of 718, 215, 567, 926, 354
• LCM of 275, 731, 164, 308, 693

1. What is the LCM of 420, 366, 946, 138, 656?

Answer: LCM of 420, 366, 946, 138, 656 is 45710076720.

2. How to calculate the LCM of 420, 366, 946, 138, 656?

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, 366, 946, 138, 656.

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}.