Find the LCM of 334, 424, 442, 676 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 334, 424, 442, 676. So, keep reading to learn more.
Given numbers are 334,424,442,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,424,442,676 is 203431384.
Find LCM of 334,424,442,676 with Prime Factorization
2 | 334, 424, 442, 676 |
2 | 167, 212, 221, 338 |
13 | 167, 106, 221, 169 |
167, 106, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 167 x 106 x 17 x 13 = 203431384
Therefore, the lowest common multiple of 334,424,442,676 is 203431384.
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.
334 x 424 x 442 x 676 = 42313727872
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.
334 : 1, 2, 167, 334
424 : 1, 2, 4, 8, 53, 106, 212, 424
442 : 1, 2, 13, 17, 26, 34, 221, 442
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,424,442,676, is 2.
Now, the common factors can be found like this.
334:2x 167
424:2x 2x 2x 53
442:2x 13x 17
676:2x 2x 13x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 42313727872/(2x104)
LCM = 42313727872/208
LCM = 203431384
Thus, we can understand that the LCM of 334,424,442,676 is 203431384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 424, 442, 676?
Answer: LCM of 334, 424, 442, 676 is 203431384.
2. How to calculate the LCM of 334, 424, 442, 676?
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 334, 424, 442, 676.
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}.