Given numbers are 148,660,312,678

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

The LCM of 148,660,312,678 is 71745960.

Find LCM of 148,660,312,678 with Prime Factorization

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

2 x 2 x 3 x 37 x 55 x 26 x 113 = 71745960

Therefore, the lowest common multiple of 148,660,312,678 is 71745960.

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.

148 x 660 x 312 x 678 = 20662836480

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.

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,660,312,678, is 2.

Now, the common factors can be found like this.

148:2x 2x 37

660:2x 2x 3x 5x 11

312:2x 2x 2x 3x 13

678:2x 3x 113

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 20662836480/(2x144)

LCM = 20662836480/288

LCM = 71745960

Thus, we can understand that the LCM of 148,660,312,678 is 71745960.

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

• LCM of 707, 548, 148, 703
• LCM of 849, 408, 207, 106
• LCM of 437, 263, 561, 257
• LCM of 912, 682, 981, 712
• LCM of 751, 366, 895, 542

1. What is the LCM of 148, 660, 312, 678?

Answer: LCM of 148, 660, 312, 678 is 71745960.

2. How to calculate the LCM of 148, 660, 312, 678?

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 148, 660, 312, 678.

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}.