Given numbers are 138,918,516,697,201

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

The LCM of 138,918,516,697,201 is 4988013588.

Find LCM of 138,918,516,697,201 with Prime Factorization

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

2 x 3 x 17 x 23 x 9 x 86 x 41 x 67 = 4988013588

Therefore, the lowest common multiple of 138,918,516,697,201 is 4988013588.

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 918 x 516 x 697 x 201 = 9157992947568

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

697 : 1, 17, 41, 697

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,918,516,697,201, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

918:2x 3x 3x 3x 17

516:2x 2x 3x 43

697:17x 41

201:3x 67

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 3x 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 9157992947568/(1x1836)

LCM = 9157992947568/1836

LCM = 4988013588

Thus, we can understand that the LCM of 138,918,516,697,201 is 4988013588.

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

• LCM of 959, 477, 864, 734, 592
• LCM of 419, 590, 910, 264, 975
• LCM of 722, 453, 856, 895, 485
• LCM of 568, 842, 771, 883, 624
• LCM of 657, 926, 414, 860, 255

1. What is the LCM of 138, 918, 516, 697, 201?

Answer: LCM of 138, 918, 516, 697, 201 is 4988013588.

2. How to calculate the LCM of 138, 918, 516, 697, 201?

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, 918, 516, 697, 201.

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}.