Given numbers are 264,987,670,207,409

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

The LCM of 264,987,670,207,409 is 821139663960.

Find LCM of 264,987,670,207,409 with Prime Factorization

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

2 x 3 x 44 x 329 x 335 x 69 x 409 = 821139663960

Therefore, the lowest common multiple of 264,987,670,207,409 is 821139663960.

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.

264 x 987 x 670 x 207 x 409 = 14780513951280

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

987 : 1, 3, 7, 21, 47, 141, 329, 987

670 : 1, 2, 5, 10, 67, 134, 335, 670

207 : 1, 3, 9, 23, 69, 207

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,987,670,207,409, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

987:3x 7x 47

670:2x 5x 67

207:3x 3x 23

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 14780513951280/(1x18)

LCM = 14780513951280/18

LCM = 821139663960

Thus, we can understand that the LCM of 264,987,670,207,409 is 821139663960.

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

• LCM of 504, 362, 632, 946, 143
• LCM of 142, 332, 733, 252, 217
• LCM of 475, 291, 574, 898, 879
• LCM of 929, 950, 443, 406, 157
• LCM of 835, 446, 447, 376, 151

1. What is the LCM of 264, 987, 670, 207, 409?

Answer: LCM of 264, 987, 670, 207, 409 is 821139663960.

2. How to calculate the LCM of 264, 987, 670, 207, 409?

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 264, 987, 670, 207, 409.

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}.