LCM of 500, 684, 269, 350, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 500, 684, 269, 350, 462 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 500, 684, 269, 350, 462. So, keep reading to learn more.
Given numbers are 500,684,269,350,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 500,684,269,350,462 is 1770961500.
Find LCM of 500,684,269,350,462 with Prime Factorization
| 2 | 500, 684, 269, 350, 462 |
| 2 | 250, 342, 269, 175, 231 |
| 3 | 125, 171, 269, 175, 231 |
| 5 | 125, 57, 269, 175, 77 |
| 5 | 25, 57, 269, 35, 77 |
| 7 | 5, 57, 269, 7, 77 |
| 5, 57, 269, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 5 x 57 x 269 x 1 x 11 = 1770961500
Therefore, the lowest common multiple of 500,684,269,350,462 is 1770961500.
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.
500 x 684 x 269 x 350 x 462 = 14876076600000
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.
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
269 : 1, 269
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,684,269,350,462, is 1.
Now, the common factors can be found like this.
500:2x 2x 5x 5x 5
684:2x 2x 3x 3x 19
269:269
350:2x 5x 5x 7
462:2x 3x 7x 11
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 5x 5x 7 = 8400
Therefore, the value for common factors is 8400.
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 = 14876076600000/(1x8400)
LCM = 14876076600000/8400
LCM = 1770961500
Thus, we can understand that the LCM of 500,684,269,350,462 is 1770961500.
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FAQs on LCM of 500, 684, 269, 350, 462
1. What is the LCM of 500, 684, 269, 350, 462?
Answer: LCM of 500, 684, 269, 350, 462 is 1770961500.
2. How to calculate the LCM of 500, 684, 269, 350, 462?
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 500, 684, 269, 350, 462.
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}.