Given numbers are 326,312,456,342,984

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

The LCM of 326,312,456,342,984 is 118850472.

Find LCM of 326,312,456,342,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 163 x 13 x 1 x 3 x 41 = 118850472

Therefore, the lowest common multiple of 326,312,456,342,984 is 118850472.

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.

326 x 312 x 456 x 342 x 984 = 15608394786816

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.

326 : 1, 2, 163, 326

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,312,456,342,984, is 2.

Now, the common factors can be found like this.

326:2x 163

312:2x 2x 2x 3x 13

456:2x 2x 2x 3x 19

342:2x 3x 3x 19

984:2x 2x 2x 3x 41

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 2x 2x 2x 3x 3x 3x 19 = 65664

Therefore, the value for common factors is 65664.

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 = 15608394786816/(2x65664)

LCM = 15608394786816/131328

LCM = 118850472

Thus, we can understand that the LCM of 326,312,456,342,984 is 118850472.

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

• LCM of 921, 389, 680, 893, 640
• LCM of 830, 660, 947, 326, 188
• LCM of 127, 900, 289, 347, 170
• LCM of 248, 626, 586, 667, 763
• LCM of 308, 476, 985, 382, 523

1. What is the LCM of 326, 312, 456, 342, 984?

Answer: LCM of 326, 312, 456, 342, 984 is 118850472.

2. How to calculate the LCM of 326, 312, 456, 342, 984?

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 326, 312, 456, 342, 984.

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}.