Given numbers are 843,129,105,276,968

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

The LCM of 843,129,105,276,968 is 28246670760.

Find LCM of 843,129,105,276,968 with Prime Factorization

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

2 x 2 x 3 x 281 x 43 x 35 x 23 x 242 = 28246670760

Therefore, the lowest common multiple of 843,129,105,276,968 is 28246670760.

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.

843 x 129 x 105 x 276 x 968 = 3050640442080

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.

843 : 1, 3, 281, 843

129 : 1, 3, 43, 129

105 : 1, 3, 5, 7, 15, 21, 35, 105

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,129,105,276,968, is 1.

Now, the common factors can be found like this.

843:3x 281

129:3x 43

105:3x 5x 7

276:2x 2x 3x 23

968:2x 2x 2x 11x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 3050640442080/(1x108)

LCM = 3050640442080/108

LCM = 28246670760

Thus, we can understand that the LCM of 843,129,105,276,968 is 28246670760.

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

• LCM of 517, 595, 159, 295, 738
• LCM of 685, 812, 147, 936, 466
• LCM of 798, 635, 679, 189, 427
• LCM of 923, 288, 588, 564, 656
• LCM of 748, 178, 481, 428, 926

1. What is the LCM of 843, 129, 105, 276, 968?

Answer: LCM of 843, 129, 105, 276, 968 is 28246670760.

2. How to calculate the LCM of 843, 129, 105, 276, 968?

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 843, 129, 105, 276, 968.

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}.