Given numbers are 418,742,442,980,840

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

The LCM of 418,742,442,980,840 is 14394339960.

Find LCM of 418,742,442,980,840 with Prime Factorization

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

2 x 2 x 5 x 7 x 209 x 53 x 221 x 7 x 6 = 14394339960

Therefore, the lowest common multiple of 418,742,442,980,840 is 14394339960.

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.

418 x 742 x 442 x 980 x 840 = 112851625286400

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

742 : 1, 2, 7, 14, 53, 106, 371, 742

442 : 1, 2, 13, 17, 26, 34, 221, 442

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,742,442,980,840, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

742:2x 7x 53

442:2x 13x 17

980:2x 2x 5x 7x 7

840:2x 2x 2x 3x 5x 7

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 5x 7x 7 = 3920

Therefore, the value for common factors is 3920.

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 = 112851625286400/(2x3920)

LCM = 112851625286400/7840

LCM = 14394339960

Thus, we can understand that the LCM of 418,742,442,980,840 is 14394339960.

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

• LCM of 758, 944, 605, 262, 659
• LCM of 720, 401, 151, 493, 760
• LCM of 641, 435, 870, 987, 770
• LCM of 188, 714, 250, 465, 288
• LCM of 148, 162, 728, 896, 939

1. What is the LCM of 418, 742, 442, 980, 840?

Answer: LCM of 418, 742, 442, 980, 840 is 14394339960.

2. How to calculate the LCM of 418, 742, 442, 980, 840?

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 418, 742, 442, 980, 840.

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}.