LCM of 515, 412, 714, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 412, 714, 829 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, 412, 714, 829. So, keep reading to learn more.
Given numbers are 515,412,714,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,412,714,829 is 609663180.
Find LCM of 515,412,714,829 with Prime Factorization
| 2 | 515, 412, 714, 829 |
| 103 | 515, 206, 357, 829 |
| 5, 2, 357, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 5 x 2 x 357 x 829 = 609663180
Therefore, the lowest common multiple of 515,412,714,829 is 609663180.
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 412 x 714 x 829 = 125590615080
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
412 : 1, 2, 4, 103, 206, 412
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,412,714,829, is 1.
Now, the common factors can be found like this.
515:5x 103
412:2x 2x 103
714:2x 3x 7x 17
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 125590615080/(1x206)
LCM = 125590615080/206
LCM = 609663180
Thus, we can understand that the LCM of 515,412,714,829 is 609663180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 412, 714, 829
1. What is the LCM of 515, 412, 714, 829?
Answer: LCM of 515, 412, 714, 829 is 609663180.
2. How to calculate the LCM of 515, 412, 714, 829?
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, 412, 714, 829.
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}.