Given numbers are 409,414,972,852,759

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

The LCM of 409,414,972,852,759 is 7141154724.

Find LCM of 409,414,972,852,759 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 409 x 1 x 27 x 71 x 11 = 7141154724

Therefore, the lowest common multiple of 409,414,972,852,759 is 7141154724.

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.

409 x 414 x 972 x 852 x 759 = 106431770006496

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.

409 : 1, 409

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,414,972,852,759, is 1.

Now, the common factors can be found like this.

409:409

414:2x 3x 3x 23

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

852:2x 2x 3x 71

759:3x 11x 23

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 3x 3x 3x 3x 23 = 14904

Therefore, the value for common factors is 14904.

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 = 106431770006496/(1x14904)

LCM = 106431770006496/14904

LCM = 7141154724

Thus, we can understand that the LCM of 409,414,972,852,759 is 7141154724.

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

• LCM of 854, 728, 389, 945, 355
• LCM of 297, 919, 174, 767, 119
• LCM of 301, 773, 170, 656, 704
• LCM of 918, 881, 997, 905, 569
• LCM of 730, 616, 456, 338, 785

1. What is the LCM of 409, 414, 972, 852, 759?

Answer: LCM of 409, 414, 972, 852, 759 is 7141154724.

2. How to calculate the LCM of 409, 414, 972, 852, 759?

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 409, 414, 972, 852, 759.

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}.