LCM of 343, 560, 159, 274, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 560, 159, 274, 822 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 343, 560, 159, 274, 822. So, keep reading to learn more.
Given numbers are 343,560,159,274,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,560,159,274,822 is 597725520.
Find LCM of 343,560,159,274,822 with Prime Factorization
| 2 | 343, 560, 159, 274, 822 |
| 3 | 343, 280, 159, 137, 411 |
| 7 | 343, 280, 53, 137, 137 |
| 137 | 49, 40, 53, 137, 137 |
| 49, 40, 53, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 49 x 40 x 53 x 1 x 1 = 597725520
Therefore, the lowest common multiple of 343,560,159,274,822 is 597725520.
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.
343 x 560 x 159 x 274 x 822 = 6878625284160
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.
343 : 1, 7, 49, 343
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
159 : 1, 3, 53, 159
274 : 1, 2, 137, 274
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,560,159,274,822, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
560:2x 2x 2x 2x 5x 7
159:3x 53
274:2x 137
822:2x 3x 137
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 3x 7x 137 = 11508
Therefore, the value for common factors is 11508.
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 = 6878625284160/(1x11508)
LCM = 6878625284160/11508
LCM = 597725520
Thus, we can understand that the LCM of 343,560,159,274,822 is 597725520.
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FAQs on LCM of 343, 560, 159, 274, 822
1. What is the LCM of 343, 560, 159, 274, 822?
Answer: LCM of 343, 560, 159, 274, 822 is 597725520.
2. How to calculate the LCM of 343, 560, 159, 274, 822?
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 343, 560, 159, 274, 822.
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}.