Given numbers are 209,494,972,202,442

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

The LCM of 209,494,972,202,442 is 4534466508.

Find LCM of 209,494,972,202,442 with Prime Factorization

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

2 x 13 x 19 x 11 x 1 x 486 x 101 x 17 = 4534466508

Therefore, the lowest common multiple of 209,494,972,202,442 is 4534466508.

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.

209 x 494 x 972 x 202 x 442 = 8960105819808

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.

209 : 1, 11, 19, 209

494 : 1, 2, 13, 19, 26, 38, 247, 494

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

202 : 1, 2, 101, 202

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,494,972,202,442, is 1.

Now, the common factors can be found like this.

209:11x 19

494:2x 13x 19

972:2x 2x 3x 3x 3x 3x 3

202:2x 101

442:2x 13x 17

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 13x 19 = 1976

Therefore, the value for common factors is 1976.

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 = 8960105819808/(1x1976)

LCM = 8960105819808/1976

LCM = 4534466508

Thus, we can understand that the LCM of 209,494,972,202,442 is 4534466508.

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

• LCM of 430, 793, 632, 118, 907
• LCM of 812, 543, 510, 436, 153
• LCM of 638, 572, 458, 178, 255
• LCM of 193, 312, 363, 456, 988
• LCM of 225, 653, 780, 140, 854

1. What is the LCM of 209, 494, 972, 202, 442?

Answer: LCM of 209, 494, 972, 202, 442 is 4534466508.

2. How to calculate the LCM of 209, 494, 972, 202, 442?

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 209, 494, 972, 202, 442.

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}.