Given numbers are 138,434,102,818,509

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

The LCM of 138,434,102,818,509 is 105981199842.

Find LCM of 138,434,102,818,509 with Prime Factorization

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

2 x 3 x 23 x 217 x 17 x 409 x 509 = 105981199842

Therefore, the lowest common multiple of 138,434,102,818,509 is 105981199842.

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.

138 x 434 x 102 x 818 x 509 = 2543548796208

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

434 : 1, 2, 7, 14, 31, 62, 217, 434

102 : 1, 2, 3, 6, 17, 34, 51, 102

818 : 1, 2, 409, 818

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,434,102,818,509, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

434:2x 7x 31

102:2x 3x 17

818:2x 409

509:509

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 = 2543548796208/(1x24)

LCM = 2543548796208/24

LCM = 105981199842

Thus, we can understand that the LCM of 138,434,102,818,509 is 105981199842.

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

• LCM of 999, 982, 667, 131, 958
• LCM of 930, 486, 754, 286, 633
• LCM of 160, 200, 510, 985, 114
• LCM of 942, 256, 643, 634, 992
• LCM of 841, 631, 210, 564, 925

1. What is the LCM of 138, 434, 102, 818, 509?

Answer: LCM of 138, 434, 102, 818, 509 is 105981199842.

2. How to calculate the LCM of 138, 434, 102, 818, 509?

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 138, 434, 102, 818, 509.

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}.