Find the LCM of 822, 627, 611, 374, 237 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 822, 627, 611, 374, 237. So, keep reading to learn more.
Given numbers are 822,627,611,374,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,627,611,374,237 is 140972800254.
Find LCM of 822,627,611,374,237 with Prime Factorization
2 | 822, 627, 611, 374, 237 |
3 | 411, 627, 611, 187, 237 |
11 | 137, 209, 611, 187, 79 |
137, 19, 611, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 137 x 19 x 611 x 17 x 79 = 140972800254
Therefore, the lowest common multiple of 822,627,611,374,237 is 140972800254.
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.
822 x 627 x 611 x 374 x 237 = 27912614450292
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
627 : 1, 3, 11, 19, 33, 57, 209, 627
611 : 1, 13, 47, 611
374 : 1, 2, 11, 17, 22, 34, 187, 374
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,627,611,374,237, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
627:3x 11x 19
611:13x 47
374:2x 11x 17
237:3x 79
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 11 = 198
Therefore, the value for common factors is 198.
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 = 27912614450292/(1x198)
LCM = 27912614450292/198
LCM = 140972800254
Thus, we can understand that the LCM of 822,627,611,374,237 is 140972800254.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 627, 611, 374, 237?
Answer: LCM of 822, 627, 611, 374, 237 is 140972800254.
2. How to calculate the LCM of 822, 627, 611, 374, 237?
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 822, 627, 611, 374, 237.
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}.