Given numbers are 314,232,646,132

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

The LCM of 314,232,646,132 is 388243416.

Find LCM of 314,232,646,132 with Prime Factorization

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

2 x 2 x 157 x 58 x 323 x 33 = 388243416

Therefore, the lowest common multiple of 314,232,646,132 is 388243416.

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.

314 x 232 x 646 x 132 = 6211894656

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.

314 : 1, 2, 157, 314

232 : 1, 2, 4, 8, 29, 58, 116, 232

646 : 1, 2, 17, 19, 34, 38, 323, 646

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,232,646,132, is 2.

Now, the common factors can be found like this.

314:2x 157

232:2x 2x 2x 29

646:2x 17x 19

132:2x 2x 3x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6211894656/(2x8)

LCM = 6211894656/16

LCM = 388243416

Thus, we can understand that the LCM of 314,232,646,132 is 388243416.

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

• LCM of 780, 930, 672, 538
• LCM of 919, 131, 807, 908
• LCM of 596, 325, 501, 291
• LCM of 540, 305, 202, 535
• LCM of 671, 849, 942, 965

1. What is the LCM of 314, 232, 646, 132?

Answer: LCM of 314, 232, 646, 132 is 388243416.

2. How to calculate the LCM of 314, 232, 646, 132?

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 314, 232, 646, 132.

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}.