LCM of 497, 214, 260, 546, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 214, 260, 546, 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 497, 214, 260, 546, 189. So, keep reading to learn more.
Given numbers are 497,214,260,546,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,214,260,546,189 is 373316580.
Find LCM of 497,214,260,546,189 with Prime Factorization
| 2 | 497, 214, 260, 546, 189 |
| 3 | 497, 107, 130, 273, 189 |
| 7 | 497, 107, 130, 91, 63 |
| 13 | 71, 107, 130, 13, 9 |
| 71, 107, 10, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 71 x 107 x 10 x 1 x 9 = 373316580
Therefore, the lowest common multiple of 497,214,260,546,189 is 373316580.
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.
497 x 214 x 260 x 546 x 189 = 2853631937520
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.
497 : 1, 7, 71, 497
214 : 1, 2, 107, 214
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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 497,214,260,546,189, is 1.
Now, the common factors can be found like this.
497:7x 71
214:2x 107
260:2x 2x 5x 13
546:2x 3x 7x 13
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 2x 3x 7x 7x 13 = 7644
Therefore, the value for common factors is 7644.
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 = 2853631937520/(1x7644)
LCM = 2853631937520/7644
LCM = 373316580
Thus, we can understand that the LCM of 497,214,260,546,189 is 373316580.
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FAQs on LCM of 497, 214, 260, 546, 189
1. What is the LCM of 497, 214, 260, 546, 189?
Answer: LCM of 497, 214, 260, 546, 189 is 373316580.
2. How to calculate the LCM of 497, 214, 260, 546, 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 497, 214, 260, 546, 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}.