Given numbers are 329,460,378,924

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

The LCM of 329,460,378,924 is 44947980.

Find LCM of 329,460,378,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 47 x 115 x 9 x 11 = 44947980

Therefore, the lowest common multiple of 329,460,378,924 is 44947980.

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.

329 x 460 x 378 x 924 = 52858824480

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.

329 : 1, 7, 47, 329

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,460,378,924, is 1.

Now, the common factors can be found like this.

329:7x 47

460:2x 2x 5x 23

378:2x 3x 3x 3x 7

924:2x 2x 3x 7x 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 2x 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 52858824480/(1x1176)

LCM = 52858824480/1176

LCM = 44947980

Thus, we can understand that the LCM of 329,460,378,924 is 44947980.

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

• LCM of 431, 175, 937, 923
• LCM of 655, 494, 176, 287
• LCM of 142, 416, 445, 790
• LCM of 410, 245, 204, 133
• LCM of 674, 973, 108, 983

1. What is the LCM of 329, 460, 378, 924?

Answer: LCM of 329, 460, 378, 924 is 44947980.

2. How to calculate the LCM of 329, 460, 378, 924?

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 329, 460, 378, 924.

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}.