LCM of 515, 420, 372, 973, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 420, 372, 973, 269 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, 420, 372, 973, 269. So, keep reading to learn more.
Given numbers are 515,420,372,973,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,420,372,973,269 is 50143574460.
Find LCM of 515,420,372,973,269 with Prime Factorization
| 2 | 515, 420, 372, 973, 269 |
| 2 | 515, 210, 186, 973, 269 |
| 3 | 515, 105, 93, 973, 269 |
| 5 | 515, 35, 31, 973, 269 |
| 7 | 103, 7, 31, 973, 269 |
| 103, 1, 31, 139, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 103 x 1 x 31 x 139 x 269 = 50143574460
Therefore, the lowest common multiple of 515,420,372,973,269 is 50143574460.
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 420 x 372 x 973 x 269 = 21060301273200
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
973 : 1, 7, 139, 973
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,420,372,973,269, is 1.
Now, the common factors can be found like this.
515:5x 103
420:2x 2x 3x 5x 7
372:2x 2x 3x 31
973:7x 139
269:269
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 21060301273200/(1x420)
LCM = 21060301273200/420
LCM = 50143574460
Thus, we can understand that the LCM of 515,420,372,973,269 is 50143574460.
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FAQs on LCM of 515, 420, 372, 973, 269
1. What is the LCM of 515, 420, 372, 973, 269?
Answer: LCM of 515, 420, 372, 973, 269 is 50143574460.
2. How to calculate the LCM of 515, 420, 372, 973, 269?
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, 420, 372, 973, 269.
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}.