LCM of 380, 408, 748, 983, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 408, 748, 983, 628 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 380, 408, 748, 983, 628. So, keep reading to learn more.
Given numbers are 380,408,748,983,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,408,748,983,628 is 65800565160.
Find LCM of 380,408,748,983,628 with Prime Factorization
| 2 | 380, 408, 748, 983, 628 |
| 2 | 190, 204, 374, 983, 314 |
| 17 | 95, 102, 187, 983, 157 |
| 95, 6, 11, 983, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 95 x 6 x 11 x 983 x 157 = 65800565160
Therefore, the lowest common multiple of 380,408,748,983,628 is 65800565160.
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.
380 x 408 x 748 x 983 x 628 = 71591014894080
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
983 : 1, 983
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,408,748,983,628, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
408:2x 2x 2x 3x 17
748:2x 2x 11x 17
983:983
628:2x 2x 157
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 17 = 1088
Therefore, the value for common factors is 1088.
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 = 71591014894080/(1x1088)
LCM = 71591014894080/1088
LCM = 65800565160
Thus, we can understand that the LCM of 380,408,748,983,628 is 65800565160.
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FAQs on LCM of 380, 408, 748, 983, 628
1. What is the LCM of 380, 408, 748, 983, 628?
Answer: LCM of 380, 408, 748, 983, 628 is 65800565160.
2. How to calculate the LCM of 380, 408, 748, 983, 628?
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 380, 408, 748, 983, 628.
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}.