Given numbers are 326,476,924,656,228

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

The LCM of 326,476,924,656,228 is 7978218864.

Find LCM of 326,476,924,656,228 with Prime Factorization

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

2 x 2 x 3 x 7 x 163 x 17 x 11 x 164 x 19 = 7978218864

Therefore, the lowest common multiple of 326,476,924,656,228 is 7978218864.

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 476 x 924 x 656 x 228 = 21445452306432

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,476,924,656,228, is 2.

Now, the common factors can be found like this.

326:2x 163

476:2x 2x 7x 17

924:2x 2x 3x 7x 11

656:2x 2x 2x 2x 41

228:2x 2x 3x 19

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 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 21445452306432/(2x1344)

LCM = 21445452306432/2688

LCM = 7978218864

Thus, we can understand that the LCM of 326,476,924,656,228 is 7978218864.

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

• LCM of 333, 586, 364, 969, 588
• LCM of 985, 835, 147, 662, 126
• LCM of 156, 828, 375, 340, 680
• LCM of 676, 850, 908, 806, 815
• LCM of 155, 896, 666, 910, 484

1. What is the LCM of 326, 476, 924, 656, 228?

Answer: LCM of 326, 476, 924, 656, 228 is 7978218864.

2. How to calculate the LCM of 326, 476, 924, 656, 228?

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, 476, 924, 656, 228.

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}.