Given numbers are 138,780,652,208,764

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

The LCM of 138,780,652,208,764 is 2234104080.

Find LCM of 138,780,652,208,764 with Prime Factorization

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

2 x 2 x 3 x 13 x 23 x 5 x 163 x 4 x 191 = 2234104080

Therefore, the lowest common multiple of 138,780,652,208,764 is 2234104080.

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 780 x 652 x 208 x 764 = 11152647567360

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

652 : 1, 2, 4, 163, 326, 652

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

764 : 1, 2, 4, 191, 382, 764

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,780,652,208,764, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

780:2x 2x 3x 5x 13

652:2x 2x 163

208:2x 2x 2x 2x 13

764:2x 2x 191

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 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 11152647567360/(2x2496)

LCM = 11152647567360/4992

LCM = 2234104080

Thus, we can understand that the LCM of 138,780,652,208,764 is 2234104080.

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

• LCM of 380, 200, 257, 196, 251
• LCM of 215, 807, 378, 503, 987
• LCM of 285, 101, 704, 920, 490
• LCM of 346, 201, 359, 370, 373
• LCM of 341, 129, 267, 157, 138

1. What is the LCM of 138, 780, 652, 208, 764?

Answer: LCM of 138, 780, 652, 208, 764 is 2234104080.

2. How to calculate the LCM of 138, 780, 652, 208, 764?

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, 780, 652, 208, 764.

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}.