LCM of 836, 703, 504, 314, 177
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 703, 504, 314, 177 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 836, 703, 504, 314, 177. So, keep reading to learn more.
Given numbers are 836,703,504,314,177
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,703,504,314,177 is 36101912616.
Find LCM of 836,703,504,314,177 with Prime Factorization
| 2 | 836, 703, 504, 314, 177 |
| 2 | 418, 703, 252, 157, 177 |
| 3 | 209, 703, 126, 157, 177 |
| 19 | 209, 703, 42, 157, 59 |
| 11, 37, 42, 157, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 11 x 37 x 42 x 157 x 59 = 36101912616
Therefore, the lowest common multiple of 836,703,504,314,177 is 36101912616.
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.
836 x 703 x 504 x 314 x 177 = 16462472152896
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
703 : 1, 19, 37, 703
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
314 : 1, 2, 157, 314
177 : 1, 3, 59, 177
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,703,504,314,177, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
703:19x 37
504:2x 2x 2x 3x 3x 7
314:2x 157
177:3x 59
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 16462472152896/(1x456)
LCM = 16462472152896/456
LCM = 36101912616
Thus, we can understand that the LCM of 836,703,504,314,177 is 36101912616.
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FAQs on LCM of 836, 703, 504, 314, 177
1. What is the LCM of 836, 703, 504, 314, 177?
Answer: LCM of 836, 703, 504, 314, 177 is 36101912616.
2. How to calculate the LCM of 836, 703, 504, 314, 177?
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 836, 703, 504, 314, 177.
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}.