Find the LCM of 482, 949, 348, 994, 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 482, 949, 348, 994, 676. So, keep reading to learn more.
Given numbers are 482,949,348,994,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,949,348,994,676 is 514235719452.
Find LCM of 482,949,348,994,676 with Prime Factorization
2 | 482, 949, 348, 994, 676 |
2 | 241, 949, 174, 497, 338 |
13 | 241, 949, 87, 497, 169 |
241, 73, 87, 497, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 241 x 73 x 87 x 497 x 13 = 514235719452
Therefore, the lowest common multiple of 482,949,348,994,676 is 514235719452.
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.
482 x 949 x 348 x 994 x 676 = 106961029646016
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.
482 : 1, 2, 241, 482
949 : 1, 13, 73, 949
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
994 : 1, 2, 7, 14, 71, 142, 497, 994
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,949,348,994,676, is 1.
Now, the common factors can be found like this.
482:2x 241
949:13x 73
348:2x 2x 3x 29
994:2x 7x 71
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 106961029646016/(1x208)
LCM = 106961029646016/208
LCM = 514235719452
Thus, we can understand that the LCM of 482,949,348,994,676 is 514235719452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 482, 949, 348, 994, 676?
Answer: LCM of 482, 949, 348, 994, 676 is 514235719452.
2. How to calculate the LCM of 482, 949, 348, 994, 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 482, 949, 348, 994, 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}.