Find the LCM of 198, 852, 901, 466, 374 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 198, 852, 901, 466, 374. So, keep reading to learn more.
Given numbers are 198,852,901,466,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,852,901,466,374 is 5902476228.
Find LCM of 198,852,901,466,374 with Prime Factorization
2 | 198, 852, 901, 466, 374 |
3 | 99, 426, 901, 233, 187 |
11 | 33, 142, 901, 233, 187 |
17 | 3, 142, 901, 233, 17 |
3, 142, 53, 233, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 3 x 142 x 53 x 233 x 1 = 5902476228
Therefore, the lowest common multiple of 198,852,901,466,374 is 5902476228.
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.
198 x 852 x 901 x 466 x 374 = 26490313311264
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
901 : 1, 17, 53, 901
466 : 1, 2, 233, 466
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,852,901,466,374, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
852:2x 2x 3x 71
901:17x 53
466:2x 233
374:2x 11x 17
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 3x 11x 17 = 4488
Therefore, the value for common factors is 4488.
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 = 26490313311264/(1x4488)
LCM = 26490313311264/4488
LCM = 5902476228
Thus, we can understand that the LCM of 198,852,901,466,374 is 5902476228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 852, 901, 466, 374?
Answer: LCM of 198, 852, 901, 466, 374 is 5902476228.
2. How to calculate the LCM of 198, 852, 901, 466, 374?
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 198, 852, 901, 466, 374.
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}.