LCM of 125, 985, 836, 209, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 985, 836, 209, 636 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 125, 985, 836, 209, 636. So, keep reading to learn more.
Given numbers are 125,985,836,209,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,985,836,209,636 is 3273253500.
Find LCM of 125,985,836,209,636 with Prime Factorization
| 2 | 125, 985, 836, 209, 636 |
| 2 | 125, 985, 418, 209, 318 |
| 5 | 125, 985, 209, 209, 159 |
| 11 | 25, 197, 209, 209, 159 |
| 19 | 25, 197, 19, 19, 159 |
| 25, 197, 1, 1, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 19 x 25 x 197 x 1 x 1 x 159 = 3273253500
Therefore, the lowest common multiple of 125,985,836,209,636 is 3273253500.
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.
125 x 985 x 836 x 209 x 636 = 13682199630000
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.
125 : 1, 5, 25, 125
985 : 1, 5, 197, 985
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
209 : 1, 11, 19, 209
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,985,836,209,636, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
985:5x 197
836:2x 2x 11x 19
209:11x 19
636:2x 2x 3x 53
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 5x 11x 19 = 4180
Therefore, the value for common factors is 4180.
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 = 13682199630000/(1x4180)
LCM = 13682199630000/4180
LCM = 3273253500
Thus, we can understand that the LCM of 125,985,836,209,636 is 3273253500.
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FAQs on LCM of 125, 985, 836, 209, 636
1. What is the LCM of 125, 985, 836, 209, 636?
Answer: LCM of 125, 985, 836, 209, 636 is 3273253500.
2. How to calculate the LCM of 125, 985, 836, 209, 636?
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 125, 985, 836, 209, 636.
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}.