LCM of 565, 696, 812, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 696, 812, 420 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 565, 696, 812, 420. So, keep reading to learn more.
Given numbers are 565,696,812,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,696,812,420 is 2752680.
Find LCM of 565,696,812,420 with Prime Factorization
| 2 | 565, 696, 812, 420 |
| 2 | 565, 348, 406, 210 |
| 3 | 565, 174, 203, 105 |
| 5 | 565, 58, 203, 35 |
| 7 | 113, 58, 203, 7 |
| 29 | 113, 58, 29, 1 |
| 113, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 29 x 113 x 2 x 1 x 1 = 2752680
Therefore, the lowest common multiple of 565,696,812,420 is 2752680.
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.
565 x 696 x 812 x 420 = 134110569600
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.
565 : 1, 5, 113, 565
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,696,812,420, is 1.
Now, the common factors can be found like this.
565:5x 113
696:2x 2x 2x 3x 29
812:2x 2x 7x 29
420:2x 2x 3x 5x 7
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 7x 29 = 48720
Therefore, the value for common factors is 48720.
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 = 134110569600/(1x48720)
LCM = 134110569600/48720
LCM = 2752680
Thus, we can understand that the LCM of 565,696,812,420 is 2752680.
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FAQs on LCM of 565, 696, 812, 420
1. What is the LCM of 565, 696, 812, 420?
Answer: LCM of 565, 696, 812, 420 is 2752680.
2. How to calculate the LCM of 565, 696, 812, 420?
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 565, 696, 812, 420.
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}.