LCM of 538, 492, 516, 648, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 492, 516, 648, 609 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 538, 492, 516, 648, 609. So, keep reading to learn more.
Given numbers are 538,492,516,648,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,492,516,648,609 is 62384347368.
Find LCM of 538,492,516,648,609 with Prime Factorization
| 2 | 538, 492, 516, 648, 609 |
| 2 | 269, 246, 258, 324, 609 |
| 3 | 269, 123, 129, 162, 609 |
| 269, 41, 43, 54, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 269 x 41 x 43 x 54 x 203 = 62384347368
Therefore, the lowest common multiple of 538,492,516,648,609 is 62384347368.
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.
538 x 492 x 516 x 648 x 609 = 53900076125952
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.
538 : 1, 2, 269, 538
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,492,516,648,609, is 1.
Now, the common factors can be found like this.
538:2x 269
492:2x 2x 3x 41
516:2x 2x 3x 43
648:2x 2x 2x 3x 3x 3x 3
609:3x 7x 29
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 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 53900076125952/(1x864)
LCM = 53900076125952/864
LCM = 62384347368
Thus, we can understand that the LCM of 538,492,516,648,609 is 62384347368.
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FAQs on LCM of 538, 492, 516, 648, 609
1. What is the LCM of 538, 492, 516, 648, 609?
Answer: LCM of 538, 492, 516, 648, 609 is 62384347368.
2. How to calculate the LCM of 538, 492, 516, 648, 609?
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 538, 492, 516, 648, 609.
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}.