Find the LCM of 742, 832, 161, 676, 208 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 742, 832, 161, 676, 208. So, keep reading to learn more.
Given numbers are 742,832,161,676,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,832,161,676,208 is 92292928.
Find LCM of 742,832,161,676,208 with Prime Factorization
2 | 742, 832, 161, 676, 208 |
2 | 371, 416, 161, 338, 104 |
2 | 371, 208, 161, 169, 52 |
2 | 371, 104, 161, 169, 26 |
7 | 371, 52, 161, 169, 13 |
13 | 53, 52, 23, 169, 13 |
53, 4, 23, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 13 x 53 x 4 x 23 x 1 x 13 = 92292928
Therefore, the lowest common multiple of 742,832,161,676,208 is 92292928.
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.
742 x 832 x 161 x 676 x 208 = 13975364329472
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
161 : 1, 7, 23, 161
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,832,161,676,208, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
832:2x 2x 2x 2x 2x 2x 13
161:7x 23
676:2x 2x 13x 13
208:2x 2x 2x 2x 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 2x 2x 2x 7x 13x 13 = 151424
Therefore, the value for common factors is 151424.
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 = 13975364329472/(1x151424)
LCM = 13975364329472/151424
LCM = 92292928
Thus, we can understand that the LCM of 742,832,161,676,208 is 92292928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 832, 161, 676, 208?
Answer: LCM of 742, 832, 161, 676, 208 is 92292928.
2. How to calculate the LCM of 742, 832, 161, 676, 208?
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 742, 832, 161, 676, 208.
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}.