Given numbers are 114,702,388,148,276

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

The LCM of 114,702,388,148,276 is 2202023772.

Find LCM of 114,702,388,148,276 with Prime Factorization

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

2 x 2 x 3 x 19 x 117 x 97 x 37 x 23 = 2202023772

Therefore, the lowest common multiple of 114,702,388,148,276 is 2202023772.

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.

114 x 702 x 388 x 148 x 276 = 1268365692672

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

388 : 1, 2, 4, 97, 194, 388

148 : 1, 2, 4, 37, 74, 148

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,702,388,148,276, is 2.

Now, the common factors can be found like this.

114:2x 3x 19

702:2x 3x 3x 3x 13

388:2x 2x 97

148:2x 2x 37

276:2x 2x 3x 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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 1268365692672/(2x288)

LCM = 1268365692672/576

LCM = 2202023772

Thus, we can understand that the LCM of 114,702,388,148,276 is 2202023772.

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

• LCM of 587, 803, 576, 131, 248
• LCM of 708, 359, 833, 269, 710
• LCM of 443, 728, 742, 512, 843
• LCM of 101, 231, 432, 951, 283
• LCM of 852, 235, 799, 699, 969

1. What is the LCM of 114, 702, 388, 148, 276?

Answer: LCM of 114, 702, 388, 148, 276 is 2202023772.

2. How to calculate the LCM of 114, 702, 388, 148, 276?

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 114, 702, 388, 148, 276.

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}.