Given numbers are 148,236,940,322,306

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

The LCM of 148,236,940,322,306 is 50547408660.

Find LCM of 148,236,940,322,306 with Prime Factorization

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

2 x 2 x 37 x 59 x 235 x 161 x 153 = 50547408660

Therefore, the lowest common multiple of 148,236,940,322,306 is 50547408660.

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 236 x 940 x 322 x 306 = 3235034154240

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

236 : 1, 2, 4, 59, 118, 236

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

322 : 1, 2, 7, 14, 23, 46, 161, 322

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,236,940,322,306, is 2.

Now, the common factors can be found like this.

148:2x 2x 37

236:2x 2x 59

940:2x 2x 5x 47

322:2x 7x 23

306:2x 3x 3x 17

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 2 = 32

Therefore, the value for common factors is 32.

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 = 3235034154240/(2x32)

LCM = 3235034154240/64

LCM = 50547408660

Thus, we can understand that the LCM of 148,236,940,322,306 is 50547408660.

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

• LCM of 485, 969, 985, 503, 689
• LCM of 283, 523, 640, 147, 450
• LCM of 150, 858, 370, 444, 219
• LCM of 683, 585, 285, 733, 926
• LCM of 105, 625, 529, 211, 902

1. What is the LCM of 148, 236, 940, 322, 306?

Answer: LCM of 148, 236, 940, 322, 306 is 50547408660.

2. How to calculate the LCM of 148, 236, 940, 322, 306?

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, 236, 940, 322, 306.

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}.