Find the LCM of 562, 770, 572, 970, 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 562, 770, 572, 970, 966. So, keep reading to learn more.
Given numbers are 562,770,572,970,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,770,572,970,966 is 37652274660.
Find LCM of 562,770,572,970,966 with Prime Factorization
2 | 562, 770, 572, 970, 966 |
5 | 281, 385, 286, 485, 483 |
7 | 281, 77, 286, 97, 483 |
11 | 281, 11, 286, 97, 69 |
281, 1, 26, 97, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 281 x 1 x 26 x 97 x 69 = 37652274660
Therefore, the lowest common multiple of 562,770,572,970,966 is 37652274660.
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.
562 x 770 x 572 x 970 x 966 = 231938011905600
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.
562 : 1, 2, 281, 562
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
970 : 1, 2, 5, 10, 97, 194, 485, 970
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,770,572,970,966, is 2.
Now, the common factors can be found like this.
562:2x 281
770:2x 5x 7x 11
572:2x 2x 11x 13
970:2x 5x 97
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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 231938011905600/(2x3080)
LCM = 231938011905600/6160
LCM = 37652274660
Thus, we can understand that the LCM of 562,770,572,970,966 is 37652274660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 770, 572, 970, 966?
Answer: LCM of 562, 770, 572, 970, 966 is 37652274660.
2. How to calculate the LCM of 562, 770, 572, 970, 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 562, 770, 572, 970, 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}.