LCM of 198, 458, 871, 316, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 458, 871, 316, 583 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, 458, 871, 316, 583. So, keep reading to learn more.
Given numbers are 198,458,871,316,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,458,871,316,583 is 330713393868.
Find LCM of 198,458,871,316,583 with Prime Factorization
| 2 | 198, 458, 871, 316, 583 |
| 11 | 99, 229, 871, 158, 583 |
| 9, 229, 871, 158, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 9 x 229 x 871 x 158 x 53 = 330713393868
Therefore, the lowest common multiple of 198,458,871,316,583 is 330713393868.
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 458 x 871 x 316 x 583 = 14551389330192
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
458 : 1, 2, 229, 458
871 : 1, 13, 67, 871
316 : 1, 2, 4, 79, 158, 316
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,458,871,316,583, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
458:2x 229
871:13x 67
316:2x 2x 79
583:11x 53
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 11 = 44
Therefore, the value for common factors is 44.
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 = 14551389330192/(1x44)
LCM = 14551389330192/44
LCM = 330713393868
Thus, we can understand that the LCM of 198,458,871,316,583 is 330713393868.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 458, 871, 316, 583
1. What is the LCM of 198, 458, 871, 316, 583?
Answer: LCM of 198, 458, 871, 316, 583 is 330713393868.
2. How to calculate the LCM of 198, 458, 871, 316, 583?
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, 458, 871, 316, 583.
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}.