Find the LCM of 224, 343, 966, 348, 840 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, 966, 348, 840. So, keep reading to learn more.
Given numbers are 224,343,966,348,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,343,966,348,840 is 109814880.
Find LCM of 224,343,966,348,840 with Prime Factorization
2 | 224, 343, 966, 348, 840 |
2 | 112, 343, 483, 174, 420 |
2 | 56, 343, 483, 87, 210 |
3 | 28, 343, 483, 87, 105 |
7 | 28, 343, 161, 29, 35 |
4, 49, 23, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 4 x 49 x 23 x 29 x 5 = 109814880
Therefore, the lowest common multiple of 224,343,966,348,840 is 109814880.
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 966 x 348 x 840 = 21695906211840
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,343,966,348,840, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
343:7x 7x 7
966:2x 3x 7x 23
348:2x 2x 3x 29
840:2x 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 2x 2x 3x 3x 7x 7x 7 = 197568
Therefore, the value for common factors is 197568.
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 = 21695906211840/(1x197568)
LCM = 21695906211840/197568
LCM = 109814880
Thus, we can understand that the LCM of 224,343,966,348,840 is 109814880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 343, 966, 348, 840?
Answer: LCM of 224, 343, 966, 348, 840 is 109814880.
2. How to calculate the LCM of 224, 343, 966, 348, 840?
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, 966, 348, 840.
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}.