LCM of 513, 610, 759, 120, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 610, 759, 120, 488 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 513, 610, 759, 120, 488. So, keep reading to learn more.
Given numbers are 513,610,759,120,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,610,759,120,488 is 316685160.
Find LCM of 513,610,759,120,488 with Prime Factorization
| 2 | 513, 610, 759, 120, 488 |
| 2 | 513, 305, 759, 60, 244 |
| 2 | 513, 305, 759, 30, 122 |
| 3 | 513, 305, 759, 15, 61 |
| 5 | 171, 305, 253, 5, 61 |
| 61 | 171, 61, 253, 1, 61 |
| 171, 1, 253, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 61 x 171 x 1 x 253 x 1 x 1 = 316685160
Therefore, the lowest common multiple of 513,610,759,120,488 is 316685160.
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.
513 x 610 x 759 x 120 x 488 = 13908812227200
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
610 : 1, 2, 5, 10, 61, 122, 305, 610
759 : 1, 3, 11, 23, 33, 69, 253, 759
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,610,759,120,488, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
610:2x 5x 61
759:3x 11x 23
120:2x 2x 2x 3x 5
488:2x 2x 2x 61
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 2x 2x 3x 3x 5x 61 = 43920
Therefore, the value for common factors is 43920.
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 = 13908812227200/(1x43920)
LCM = 13908812227200/43920
LCM = 316685160
Thus, we can understand that the LCM of 513,610,759,120,488 is 316685160.
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FAQs on LCM of 513, 610, 759, 120, 488
1. What is the LCM of 513, 610, 759, 120, 488?
Answer: LCM of 513, 610, 759, 120, 488 is 316685160.
2. How to calculate the LCM of 513, 610, 759, 120, 488?
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 513, 610, 759, 120, 488.
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}.