LCM of 485, 726, 748, 836, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 726, 748, 836, 950 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 485, 726, 748, 836, 950. So, keep reading to learn more.
Given numbers are 485,726,748,836,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,726,748,836,950 is 1137315300.
Find LCM of 485,726,748,836,950 with Prime Factorization
| 2 | 485, 726, 748, 836, 950 |
| 2 | 485, 363, 374, 418, 475 |
| 5 | 485, 363, 187, 209, 475 |
| 11 | 97, 363, 187, 209, 95 |
| 19 | 97, 33, 17, 19, 95 |
| 97, 33, 17, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 19 x 97 x 33 x 17 x 1 x 5 = 1137315300
Therefore, the lowest common multiple of 485,726,748,836,950 is 1137315300.
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.
485 x 726 x 748 x 836 x 950 = 209175029976000
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.
485 : 1, 5, 97, 485
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,726,748,836,950, is 1.
Now, the common factors can be found like this.
485:5x 97
726:2x 3x 11x 11
748:2x 2x 11x 17
836:2x 2x 11x 19
950:2x 5x 5x 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 5x 11x 11x 19 = 183920
Therefore, the value for common factors is 183920.
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 = 209175029976000/(1x183920)
LCM = 209175029976000/183920
LCM = 1137315300
Thus, we can understand that the LCM of 485,726,748,836,950 is 1137315300.
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FAQs on LCM of 485, 726, 748, 836, 950
1. What is the LCM of 485, 726, 748, 836, 950?
Answer: LCM of 485, 726, 748, 836, 950 is 1137315300.
2. How to calculate the LCM of 485, 726, 748, 836, 950?
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 485, 726, 748, 836, 950.
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}.