Find the LCM of 909, 196, 796, 101, 710 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 909, 196, 796, 101, 710. So, keep reading to learn more.
Given numbers are 909,196,796,101,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,196,796,101,710 is 12586395780.
Find LCM of 909,196,796,101,710 with Prime Factorization
2 | 909, 196, 796, 101, 710 |
2 | 909, 98, 398, 101, 355 |
101 | 909, 49, 199, 101, 355 |
9, 49, 199, 1, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 9 x 49 x 199 x 1 x 355 = 12586395780
Therefore, the lowest common multiple of 909,196,796,101,710 is 12586395780.
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.
909 x 196 x 796 x 101 x 710 = 10169807790240
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.
909 : 1, 3, 9, 101, 303, 909
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
796 : 1, 2, 4, 199, 398, 796
101 : 1, 101
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,196,796,101,710, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
196:2x 2x 7x 7
796:2x 2x 199
101:101
710:2x 5x 71
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 101 = 808
Therefore, the value for common factors is 808.
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 = 10169807790240/(1x808)
LCM = 10169807790240/808
LCM = 12586395780
Thus, we can understand that the LCM of 909,196,796,101,710 is 12586395780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 196, 796, 101, 710?
Answer: LCM of 909, 196, 796, 101, 710 is 12586395780.
2. How to calculate the LCM of 909, 196, 796, 101, 710?
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 909, 196, 796, 101, 710.
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}.