LCM of 518, 385, 269, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 385, 269, 658 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 518, 385, 269, 658. So, keep reading to learn more.
Given numbers are 518,385,269,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,385,269,658 is 360199070.
Find LCM of 518,385,269,658 with Prime Factorization
| 2 | 518, 385, 269, 658 |
| 7 | 259, 385, 269, 329 |
| 37, 55, 269, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 55 x 269 x 47 = 360199070
Therefore, the lowest common multiple of 518,385,269,658 is 360199070.
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.
518 x 385 x 269 x 658 = 35299508860
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
385 : 1, 5, 7, 11, 35, 55, 77, 385
269 : 1, 269
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,385,269,658, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
385:5x 7x 11
269:269
658:2x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7 = 98
Therefore, the value for common factors is 98.
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 = 35299508860/(1x98)
LCM = 35299508860/98
LCM = 360199070
Thus, we can understand that the LCM of 518,385,269,658 is 360199070.
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FAQs on LCM of 518, 385, 269, 658
1. What is the LCM of 518, 385, 269, 658?
Answer: LCM of 518, 385, 269, 658 is 360199070.
2. How to calculate the LCM of 518, 385, 269, 658?
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 518, 385, 269, 658.
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}.