Given numbers are 387,993,276,390,149

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

The LCM of 387,993,276,390,149 is 114136988940.

Find LCM of 387,993,276,390,149 with Prime Factorization

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

2 x 3 x 129 x 331 x 46 x 65 x 149 = 114136988940

Therefore, the lowest common multiple of 387,993,276,390,149 is 114136988940.

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.

387 x 993 x 276 x 390 x 149 = 6163397402760

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.

387 : 1, 3, 9, 43, 129, 387

993 : 1, 3, 331, 993

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,993,276,390,149, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

993:3x 331

276:2x 2x 3x 23

390:2x 3x 5x 13

149:149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 6163397402760/(1x54)

LCM = 6163397402760/54

LCM = 114136988940

Thus, we can understand that the LCM of 387,993,276,390,149 is 114136988940.

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

• LCM of 558, 434, 270, 832, 439
• LCM of 448, 312, 589, 435, 573
• LCM of 233, 987, 450, 397, 791
• LCM of 434, 667, 103, 264, 978
• LCM of 211, 786, 406, 950, 485

1. What is the LCM of 387, 993, 276, 390, 149?

Answer: LCM of 387, 993, 276, 390, 149 is 114136988940.

2. How to calculate the LCM of 387, 993, 276, 390, 149?

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 387, 993, 276, 390, 149.

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}.