Find the LCM of 343, 416, 676, 456 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, 416, 676, 456. So, keep reading to learn more.
Given numbers are 343,416,676,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,416,676,456 is 105731808.
Find LCM of 343,416,676,456 with Prime Factorization
2 | 343, 416, 676, 456 |
2 | 343, 208, 338, 228 |
2 | 343, 104, 169, 114 |
13 | 343, 52, 169, 57 |
343, 4, 13, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 343 x 4 x 13 x 57 = 105731808
Therefore, the lowest common multiple of 343,416,676,456 is 105731808.
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 416 x 676 x 456 = 43984432128
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,416,676,456, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
416:2x 2x 2x 2x 2x 13
676:2x 2x 13x 13
456:2x 2x 2x 3x 19
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 13 = 416
Therefore, the value for common factors is 416.
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 = 43984432128/(1x416)
LCM = 43984432128/416
LCM = 105731808
Thus, we can understand that the LCM of 343,416,676,456 is 105731808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 416, 676, 456?
Answer: LCM of 343, 416, 676, 456 is 105731808.
2. How to calculate the LCM of 343, 416, 676, 456?
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, 416, 676, 456.
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}.