LCM of 224, 343, 336, 340, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 343, 336, 340, 823 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 224, 343, 336, 340, 823. So, keep reading to learn more.
Given numbers are 224,343,336,340,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,343,336,340,823 is 2303478240.
Find LCM of 224,343,336,340,823 with Prime Factorization
| 2 | 224, 343, 336, 340, 823 |
| 2 | 112, 343, 168, 170, 823 |
| 2 | 56, 343, 84, 85, 823 |
| 2 | 28, 343, 42, 85, 823 |
| 7 | 14, 343, 21, 85, 823 |
| 2, 49, 3, 85, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 2 x 49 x 3 x 85 x 823 = 2303478240
Therefore, the lowest common multiple of 224,343,336,340,823 is 2303478240.
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.
224 x 343 x 336 x 340 x 823 = 7223707760640
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
343 : 1, 7, 49, 343
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,343,336,340,823, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
343:7x 7x 7
336:2x 2x 2x 2x 3x 7
340:2x 2x 5x 17
823:823
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 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 7223707760640/(1x3136)
LCM = 7223707760640/3136
LCM = 2303478240
Thus, we can understand that the LCM of 224,343,336,340,823 is 2303478240.
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FAQs on LCM of 224, 343, 336, 340, 823
1. What is the LCM of 224, 343, 336, 340, 823?
Answer: LCM of 224, 343, 336, 340, 823 is 2303478240.
2. How to calculate the LCM of 224, 343, 336, 340, 823?
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 224, 343, 336, 340, 823.
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}.