LCM of 515, 817, 402, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 817, 402, 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 515, 817, 402, 609. So, keep reading to learn more.
Given numbers are 515,817,402,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,817,402,609 is 34336132530.
Find LCM of 515,817,402,609 with Prime Factorization
| 3 | 515, 817, 402, 609 |
| 515, 817, 134, 203 |
Multiply the prime numbers at the bottom and the left side.
3 x 515 x 817 x 134 x 203 = 34336132530
Therefore, the lowest common multiple of 515,817,402,609 is 34336132530.
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 817 x 402 x 609 = 103008397590
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
817 : 1, 19, 43, 817
402 : 1, 2, 3, 6, 67, 134, 201, 402
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 515,817,402,609, is 1.
Now, the common factors can be found like this.
515:5x 103
817:19x 43
402:2x 3x 67
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 103008397590/(1x3)
LCM = 103008397590/3
LCM = 34336132530
Thus, we can understand that the LCM of 515,817,402,609 is 34336132530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 817, 402, 609
1. What is the LCM of 515, 817, 402, 609?
Answer: LCM of 515, 817, 402, 609 is 34336132530.
2. How to calculate the LCM of 515, 817, 402, 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 515, 817, 402, 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}.