Find the LCM of 274, 912, 120, 822, 813 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 274, 912, 120, 822, 813. So, keep reading to learn more.
Given numbers are 274,912,120,822,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,912,120,822,813 is 169299120.
Find LCM of 274,912,120,822,813 with Prime Factorization
2 | 274, 912, 120, 822, 813 |
2 | 137, 456, 60, 411, 813 |
2 | 137, 228, 30, 411, 813 |
3 | 137, 114, 15, 411, 813 |
137 | 137, 38, 5, 137, 271 |
1, 38, 5, 1, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 137 x 1 x 38 x 5 x 1 x 271 = 169299120
Therefore, the lowest common multiple of 274,912,120,822,813 is 169299120.
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.
274 x 912 x 120 x 822 x 813 = 20039598236160
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.
274 : 1, 2, 137, 274
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
822 : 1, 2, 3, 6, 137, 274, 411, 822
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,912,120,822,813, is 1.
Now, the common factors can be found like this.
274:2x 137
912:2x 2x 2x 2x 3x 19
120:2x 2x 2x 3x 5
822:2x 3x 137
813:3x 271
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 2x 2x 3x 3x 3x 137 = 118368
Therefore, the value for common factors is 118368.
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 = 20039598236160/(1x118368)
LCM = 20039598236160/118368
LCM = 169299120
Thus, we can understand that the LCM of 274,912,120,822,813 is 169299120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 274, 912, 120, 822, 813?
Answer: LCM of 274, 912, 120, 822, 813 is 169299120.
2. How to calculate the LCM of 274, 912, 120, 822, 813?
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 274, 912, 120, 822, 813.
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}.