LCM of 210, 403, 713, 368, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 403, 713, 368, 189 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, 403, 713, 368, 189. So, keep reading to learn more.
Given numbers are 210,403,713,368,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,403,713,368,189 is 140147280.
Find LCM of 210,403,713,368,189 with Prime Factorization
| 2 | 210, 403, 713, 368, 189 |
| 3 | 105, 403, 713, 184, 189 |
| 7 | 35, 403, 713, 184, 63 |
| 23 | 5, 403, 713, 184, 9 |
| 31 | 5, 403, 31, 8, 9 |
| 5, 13, 1, 8, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 31 x 5 x 13 x 1 x 8 x 9 = 140147280
Therefore, the lowest common multiple of 210,403,713,368,189 is 140147280.
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 403 x 713 x 368 x 189 = 4196850446880
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
403 : 1, 13, 31, 403
713 : 1, 23, 31, 713
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,403,713,368,189, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
403:13x 31
713:23x 31
368:2x 2x 2x 2x 23
189:3x 3x 3x 7
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 7x 23x 31 = 29946
Therefore, the value for common factors is 29946.
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 = 4196850446880/(1x29946)
LCM = 4196850446880/29946
LCM = 140147280
Thus, we can understand that the LCM of 210,403,713,368,189 is 140147280.
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FAQs on LCM of 210, 403, 713, 368, 189
1. What is the LCM of 210, 403, 713, 368, 189?
Answer: LCM of 210, 403, 713, 368, 189 is 140147280.
2. How to calculate the LCM of 210, 403, 713, 368, 189?
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, 403, 713, 368, 189.
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}.