Find the LCM of 872, 541, 953, 276, 966 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 872, 541, 953, 276, 966. So, keep reading to learn more.
Given numbers are 872,541,953,276,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,541,953,276,966 is 217146973848.
Find LCM of 872,541,953,276,966 with Prime Factorization
2 | 872, 541, 953, 276, 966 |
2 | 436, 541, 953, 138, 483 |
3 | 218, 541, 953, 69, 483 |
23 | 218, 541, 953, 23, 161 |
218, 541, 953, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 218 x 541 x 953 x 1 x 7 = 217146973848
Therefore, the lowest common multiple of 872,541,953,276,966 is 217146973848.
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.
872 x 541 x 953 x 276 x 966 = 119865129564096
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
541 : 1, 541
953 : 1, 953
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,541,953,276,966, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
541:541
953:953
276:2x 2x 3x 23
966:2x 3x 7x 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 23 = 552
Therefore, the value for common factors is 552.
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 = 119865129564096/(1x552)
LCM = 119865129564096/552
LCM = 217146973848
Thus, we can understand that the LCM of 872,541,953,276,966 is 217146973848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 872, 541, 953, 276, 966?
Answer: LCM of 872, 541, 953, 276, 966 is 217146973848.
2. How to calculate the LCM of 872, 541, 953, 276, 966?
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 872, 541, 953, 276, 966.
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}.