Given numbers are 341,771,326,288,828

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

The LCM of 341,771,326,288,828 is 94622720544.

Find LCM of 341,771,326,288,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 341 x 257 x 163 x 8 x 23 = 94622720544

Therefore, the lowest common multiple of 341,771,326,288,828 is 94622720544.

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.

341 x 771 x 326 x 288 x 828 = 20438507637504

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.

341 : 1, 11, 31, 341

771 : 1, 3, 257, 771

326 : 1, 2, 163, 326

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,771,326,288,828, is 1.

Now, the common factors can be found like this.

341:11x 31

771:3x 257

326:2x 163

288:2x 2x 2x 2x 2x 3x 3

828:2x 2x 3x 3x 23

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 20438507637504/(1x216)

LCM = 20438507637504/216

LCM = 94622720544

Thus, we can understand that the LCM of 341,771,326,288,828 is 94622720544.

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

• LCM of 221, 277, 483, 483, 470
• LCM of 520, 388, 451, 502, 967
• LCM of 753, 936, 846, 786, 618
• LCM of 140, 517, 971, 808, 454
• LCM of 993, 248, 646, 259, 206

1. What is the LCM of 341, 771, 326, 288, 828?

Answer: LCM of 341, 771, 326, 288, 828 is 94622720544.

2. How to calculate the LCM of 341, 771, 326, 288, 828?

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 341, 771, 326, 288, 828.

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}.