LCM of 750, 899, 726, 423, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 899, 726, 423, 831 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 750, 899, 726, 423, 831. So, keep reading to learn more.
Given numbers are 750,899,726,423,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,899,726,423,831 is 3186436052250.
Find LCM of 750,899,726,423,831 with Prime Factorization
| 2 | 750, 899, 726, 423, 831 |
| 3 | 375, 899, 363, 423, 831 |
| 125, 899, 121, 141, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 125 x 899 x 121 x 141 x 277 = 3186436052250
Therefore, the lowest common multiple of 750,899,726,423,831 is 3186436052250.
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.
750 x 899 x 726 x 423 x 831 = 172067546821500
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
899 : 1, 29, 31, 899
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
423 : 1, 3, 9, 47, 141, 423
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,899,726,423,831, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
899:29x 31
726:2x 3x 11x 11
423:3x 3x 47
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 172067546821500/(1x54)
LCM = 172067546821500/54
LCM = 3186436052250
Thus, we can understand that the LCM of 750,899,726,423,831 is 3186436052250.
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FAQs on LCM of 750, 899, 726, 423, 831
1. What is the LCM of 750, 899, 726, 423, 831?
Answer: LCM of 750, 899, 726, 423, 831 is 3186436052250.
2. How to calculate the LCM of 750, 899, 726, 423, 831?
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 750, 899, 726, 423, 831.
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}.