LCM of 546, 264, 367, 819, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 264, 367, 819, 259 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 546, 264, 367, 819, 259. So, keep reading to learn more.
Given numbers are 546,264,367,819,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,264,367,819,259 is 978665688.
Find LCM of 546,264,367,819,259 with Prime Factorization
| 2 | 546, 264, 367, 819, 259 |
| 3 | 273, 132, 367, 819, 259 |
| 7 | 91, 44, 367, 273, 259 |
| 13 | 13, 44, 367, 39, 37 |
| 1, 44, 367, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 44 x 367 x 3 x 37 = 978665688
Therefore, the lowest common multiple of 546,264,367,819,259 is 978665688.
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.
546 x 264 x 367 x 819 x 259 = 11221380778608
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
367 : 1, 367
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,264,367,819,259, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
264:2x 2x 2x 3x 11
367:367
819:3x 3x 7x 13
259:7x 37
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 3x 7x 7x 13 = 11466
Therefore, the value for common factors is 11466.
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 = 11221380778608/(1x11466)
LCM = 11221380778608/11466
LCM = 978665688
Thus, we can understand that the LCM of 546,264,367,819,259 is 978665688.
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FAQs on LCM of 546, 264, 367, 819, 259
1. What is the LCM of 546, 264, 367, 819, 259?
Answer: LCM of 546, 264, 367, 819, 259 is 978665688.
2. How to calculate the LCM of 546, 264, 367, 819, 259?
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 546, 264, 367, 819, 259.
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}.