LCM of 210, 182, 988, 190, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 182, 988, 190, 198 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 210, 182, 988, 190, 198. So, keep reading to learn more.
Given numbers are 210,182,988,190,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,182,988,190,198 is 3423420.
Find LCM of 210,182,988,190,198 with Prime Factorization
| 2 | 210, 182, 988, 190, 198 |
| 3 | 105, 91, 494, 95, 99 |
| 5 | 35, 91, 494, 95, 33 |
| 7 | 7, 91, 494, 19, 33 |
| 13 | 1, 13, 494, 19, 33 |
| 19 | 1, 1, 38, 19, 33 |
| 1, 1, 2, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 19 x 1 x 1 x 2 x 1 x 33 = 3423420
Therefore, the lowest common multiple of 210,182,988,190,198 is 3423420.
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.
210 x 182 x 988 x 190 x 198 = 1420582363200
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
182 : 1, 2, 7, 13, 14, 26, 91, 182
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
190 : 1, 2, 5, 10, 19, 38, 95, 190
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,182,988,190,198, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
182:2x 7x 13
988:2x 2x 13x 19
190:2x 5x 19
198:2x 3x 3x 11
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 5x 7x 13x 19 = 207480
Therefore, the value for common factors is 207480.
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 = 1420582363200/(2x207480)
LCM = 1420582363200/414960
LCM = 3423420
Thus, we can understand that the LCM of 210,182,988,190,198 is 3423420.
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FAQs on LCM of 210, 182, 988, 190, 198
1. What is the LCM of 210, 182, 988, 190, 198?
Answer: LCM of 210, 182, 988, 190, 198 is 3423420.
2. How to calculate the LCM of 210, 182, 988, 190, 198?
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 210, 182, 988, 190, 198.
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}.