Find the LCM of 901, 902, 947, 741, 969 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 901, 902, 947, 741, 969. So, keep reading to learn more.
Given numbers are 901,902,947,741,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,902,947,741,969 is 570294936354.
Find LCM of 901,902,947,741,969 with Prime Factorization
3 | 901, 902, 947, 741, 969 |
17 | 901, 902, 947, 247, 323 |
19 | 53, 902, 947, 247, 19 |
53, 902, 947, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 53 x 902 x 947 x 13 x 1 = 570294936354
Therefore, the lowest common multiple of 901,902,947,741,969 is 570294936354.
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.
901 x 902 x 947 x 741 x 969 = 552615793327026
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.
901 : 1, 17, 53, 901
902 : 1, 2, 11, 22, 41, 82, 451, 902
947 : 1, 947
741 : 1, 3, 13, 19, 39, 57, 247, 741
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,902,947,741,969, is 1.
Now, the common factors can be found like this.
901:17x 53
902:2x 11x 41
947:947
741:3x 13x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 552615793327026/(1x969)
LCM = 552615793327026/969
LCM = 570294936354
Thus, we can understand that the LCM of 901,902,947,741,969 is 570294936354.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 902, 947, 741, 969?
Answer: LCM of 901, 902, 947, 741, 969 is 570294936354.
2. How to calculate the LCM of 901, 902, 947, 741, 969?
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 901, 902, 947, 741, 969.
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}.