Given numbers are 234,272,946,682,676

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

The LCM of 234,272,946,682,676 is 6066259056.

Find LCM of 234,272,946,682,676 with Prime Factorization

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

2 x 2 x 11 x 13 x 9 x 68 x 43 x 31 x 13 = 6066259056

Therefore, the lowest common multiple of 234,272,946,682,676 is 6066259056.

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.

234 x 272 x 946 x 682 x 676 = 27759201440256

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

946 : 1, 2, 11, 22, 43, 86, 473, 946

682 : 1, 2, 11, 22, 31, 62, 341, 682

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,272,946,682,676, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

272:2x 2x 2x 2x 17

946:2x 11x 43

682:2x 11x 31

676:2x 2x 13x 13

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 11x 13 = 2288

Therefore, the value for common factors is 2288.

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 = 27759201440256/(2x2288)

LCM = 27759201440256/4576

LCM = 6066259056

Thus, we can understand that the LCM of 234,272,946,682,676 is 6066259056.

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

• LCM of 644, 198, 414, 223, 601
• LCM of 670, 560, 366, 818, 236
• LCM of 469, 268, 322, 769, 926
• LCM of 222, 971, 899, 556, 469
• LCM of 843, 240, 222, 831, 436

1. What is the LCM of 234, 272, 946, 682, 676?

Answer: LCM of 234, 272, 946, 682, 676 is 6066259056.

2. How to calculate the LCM of 234, 272, 946, 682, 676?

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 234, 272, 946, 682, 676.

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}.