LCM of 250, 836, 836, 902, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 250, 836, 836, 902, 392 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 250, 836, 836, 902, 392. So, keep reading to learn more.
Given numbers are 250,836,836,902,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,836,836,902,392 is 419881000.
Find LCM of 250,836,836,902,392 with Prime Factorization
| 2 | 250, 836, 836, 902, 392 |
| 2 | 125, 418, 418, 451, 196 |
| 11 | 125, 209, 209, 451, 98 |
| 19 | 125, 19, 19, 41, 98 |
| 125, 1, 1, 41, 98 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 125 x 1 x 1 x 41 x 98 = 419881000
Therefore, the lowest common multiple of 250,836,836,902,392 is 419881000.
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.
250 x 836 x 836 x 902 x 392 = 61779610816000
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.
250 : 1, 2, 5, 10, 25, 50, 125, 250
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
902 : 1, 2, 11, 22, 41, 82, 451, 902
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,836,836,902,392, is 2.
Now, the common factors can be found like this.
250:2x 5x 5x 5
836:2x 2x 11x 19
836:2x 2x 11x 19
902:2x 11x 41
392:2x 2x 2x 7x 7
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 11x 11x 19 = 73568
Therefore, the value for common factors is 73568.
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 = 61779610816000/(2x73568)
LCM = 61779610816000/147136
LCM = 419881000
Thus, we can understand that the LCM of 250,836,836,902,392 is 419881000.
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FAQs on LCM of 250, 836, 836, 902, 392
1. What is the LCM of 250, 836, 836, 902, 392?
Answer: LCM of 250, 836, 836, 902, 392 is 419881000.
2. How to calculate the LCM of 250, 836, 836, 902, 392?
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 250, 836, 836, 902, 392.
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}.