Given numbers are 420,977,946,131,996

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

The LCM of 420,977,946,131,996 is 2110349485860.

Find LCM of 420,977,946,131,996 with Prime Factorization

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

2 x 2 x 3 x 35 x 977 x 473 x 131 x 83 = 2110349485860

Therefore, the lowest common multiple of 420,977,946,131,996 is 2110349485860.

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 977 x 946 x 131 x 996 = 50648387660640

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

977 : 1, 977

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

131 : 1, 131

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,977,946,131,996, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

977:977

946:2x 11x 43

131:131

996:2x 2x 3x 83

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 3 = 24

Therefore, the value for common factors is 24.

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 = 50648387660640/(1x24)

LCM = 50648387660640/24

LCM = 2110349485860

Thus, we can understand that the LCM of 420,977,946,131,996 is 2110349485860.

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

• LCM of 303, 477, 151, 787, 383
• LCM of 595, 501, 911, 356, 333
• LCM of 898, 609, 959, 239, 453
• LCM of 955, 563, 345, 229, 797
• LCM of 756, 774, 510, 106, 986

1. What is the LCM of 420, 977, 946, 131, 996?

Answer: LCM of 420, 977, 946, 131, 996 is 2110349485860.

2. How to calculate the LCM of 420, 977, 946, 131, 996?

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, 977, 946, 131, 996.

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}.