LCM of 515, 138, 761, 900, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 138, 761, 900, 258 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 515, 138, 761, 900, 258. So, keep reading to learn more.
Given numbers are 515,138,761,900,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,138,761,900,258 is 69768708300.
Find LCM of 515,138,761,900,258 with Prime Factorization
| 2 | 515, 138, 761, 900, 258 |
| 3 | 515, 69, 761, 450, 129 |
| 5 | 515, 23, 761, 150, 43 |
| 103, 23, 761, 30, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 103 x 23 x 761 x 30 x 43 = 69768708300
Therefore, the lowest common multiple of 515,138,761,900,258 is 69768708300.
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.
515 x 138 x 761 x 900 x 258 = 12558367494000
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.
515 : 1, 5, 103, 515
138 : 1, 2, 3, 6, 23, 46, 69, 138
761 : 1, 761
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,138,761,900,258, is 1.
Now, the common factors can be found like this.
515:5x 103
138:2x 3x 23
761:761
900:2x 2x 3x 3x 5x 5
258:2x 3x 43
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 12558367494000/(1x180)
LCM = 12558367494000/180
LCM = 69768708300
Thus, we can understand that the LCM of 515,138,761,900,258 is 69768708300.
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FAQs on LCM of 515, 138, 761, 900, 258
1. What is the LCM of 515, 138, 761, 900, 258?
Answer: LCM of 515, 138, 761, 900, 258 is 69768708300.
2. How to calculate the LCM of 515, 138, 761, 900, 258?
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 515, 138, 761, 900, 258.
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}.