LCM of 158, 286, 836, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 286, 836, 527 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 158, 286, 836, 527. So, keep reading to learn more.
Given numbers are 158,286,836,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,286,836,527 is 452467444.
Find LCM of 158,286,836,527 with Prime Factorization
| 2 | 158, 286, 836, 527 |
| 11 | 79, 143, 418, 527 |
| 79, 13, 38, 527 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 79 x 13 x 38 x 527 = 452467444
Therefore, the lowest common multiple of 158,286,836,527 is 452467444.
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.
158 x 286 x 836 x 527 = 19908567536
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.
158 : 1, 2, 79, 158
286 : 1, 2, 11, 13, 22, 26, 143, 286
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,286,836,527, is 1.
Now, the common factors can be found like this.
158:2x 79
286:2x 11x 13
836:2x 2x 11x 19
527:17x 31
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 11 = 44
Therefore, the value for common factors is 44.
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 = 19908567536/(1x44)
LCM = 19908567536/44
LCM = 452467444
Thus, we can understand that the LCM of 158,286,836,527 is 452467444.
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FAQs on LCM of 158, 286, 836, 527
1. What is the LCM of 158, 286, 836, 527?
Answer: LCM of 158, 286, 836, 527 is 452467444.
2. How to calculate the LCM of 158, 286, 836, 527?
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 158, 286, 836, 527.
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}.