Find the LCM of 910, 101, 627, 731, 551 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 910, 101, 627, 731, 551. So, keep reading to learn more.
Given numbers are 910,101,627,731,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,101,627,731,551 is 1221646856430.
Find LCM of 910,101,627,731,551 with Prime Factorization
19 | 910, 101, 627, 731, 551 |
910, 101, 33, 731, 29 |
Multiply the prime numbers at the bottom and the left side.
19 x 910 x 101 x 33 x 731 x 29 = 1221646856430
Therefore, the lowest common multiple of 910,101,627,731,551 is 1221646856430.
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.
910 x 101 x 627 x 731 x 551 = 23211290272170
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
101 : 1, 101
627 : 1, 3, 11, 19, 33, 57, 209, 627
731 : 1, 17, 43, 731
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,101,627,731,551, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
101:101
627:3x 11x 19
731:17x 43
551:19x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 23211290272170/(1x19)
LCM = 23211290272170/19
LCM = 1221646856430
Thus, we can understand that the LCM of 910,101,627,731,551 is 1221646856430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 101, 627, 731, 551?
Answer: LCM of 910, 101, 627, 731, 551 is 1221646856430.
2. How to calculate the LCM of 910, 101, 627, 731, 551?
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 910, 101, 627, 731, 551.
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}.