Find the LCM of 911, 860, 142, 774, 566 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 911, 860, 142, 774, 566. So, keep reading to learn more.
Given numbers are 911,860,142,774,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,860,142,774,566 is 141678556020.
Find LCM of 911,860,142,774,566 with Prime Factorization
2 | 911, 860, 142, 774, 566 |
43 | 911, 430, 71, 387, 283 |
911, 10, 71, 9, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 911 x 10 x 71 x 9 x 283 = 141678556020
Therefore, the lowest common multiple of 911,860,142,774,566 is 141678556020.
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.
911 x 860 x 142 x 774 x 566 = 48737423270880
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.
911 : 1, 911
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
142 : 1, 2, 71, 142
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,860,142,774,566, is 1.
Now, the common factors can be found like this.
911:911
860:2x 2x 5x 43
142:2x 71
774:2x 3x 3x 43
566:2x 283
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 43 = 344
Therefore, the value for common factors is 344.
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 = 48737423270880/(1x344)
LCM = 48737423270880/344
LCM = 141678556020
Thus, we can understand that the LCM of 911,860,142,774,566 is 141678556020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 911, 860, 142, 774, 566?
Answer: LCM of 911, 860, 142, 774, 566 is 141678556020.
2. How to calculate the LCM of 911, 860, 142, 774, 566?
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 911, 860, 142, 774, 566.
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}.