Find the LCM of 117, 195, 722, 807, 570 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 117, 195, 722, 807, 570. So, keep reading to learn more.
Given numbers are 117,195,722,807,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,195,722,807,570 is 113617530.
Find LCM of 117,195,722,807,570 with Prime Factorization
2 | 117, 195, 722, 807, 570 |
3 | 117, 195, 361, 807, 285 |
5 | 39, 65, 361, 269, 95 |
13 | 39, 13, 361, 269, 19 |
19 | 3, 1, 361, 269, 19 |
3, 1, 1, 269, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 19 x 3 x 1 x 1 x 269 x 19 = 113617530
Therefore, the lowest common multiple of 117,195,722,807,570 is 113617530.
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.
117 x 195 x 722 x 807 x 570 = 7577153075700
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.
117 : 1, 3, 9, 13, 39, 117
195 : 1, 3, 5, 13, 15, 39, 65, 195
722 : 1, 2, 19, 38, 361, 722
807 : 1, 3, 269, 807
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,195,722,807,570, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
195:3x 5x 13
722:2x 19x 19
807:3x 269
570:2x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 13x 19 = 66690
Therefore, the value for common factors is 66690.
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 = 7577153075700/(1x66690)
LCM = 7577153075700/66690
LCM = 113617530
Thus, we can understand that the LCM of 117,195,722,807,570 is 113617530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 117, 195, 722, 807, 570?
Answer: LCM of 117, 195, 722, 807, 570 is 113617530.
2. How to calculate the LCM of 117, 195, 722, 807, 570?
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 117, 195, 722, 807, 570.
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}.