LCM of 484, 956, 836, 617, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 956, 836, 617, 134 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 484, 956, 836, 617, 134. So, keep reading to learn more.
Given numbers are 484,956,836,617,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,956,836,617,134 is 90856673116.
Find LCM of 484,956,836,617,134 with Prime Factorization
| 2 | 484, 956, 836, 617, 134 |
| 2 | 242, 478, 418, 617, 67 |
| 11 | 121, 239, 209, 617, 67 |
| 11, 239, 19, 617, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 239 x 19 x 617 x 67 = 90856673116
Therefore, the lowest common multiple of 484,956,836,617,134 is 90856673116.
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.
484 x 956 x 836 x 617 x 134 = 31981548936832
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
956 : 1, 2, 4, 239, 478, 956
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
617 : 1, 617
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,956,836,617,134, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
956:2x 2x 239
836:2x 2x 11x 19
617:617
134:2x 67
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 11 = 352
Therefore, the value for common factors is 352.
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 = 31981548936832/(1x352)
LCM = 31981548936832/352
LCM = 90856673116
Thus, we can understand that the LCM of 484,956,836,617,134 is 90856673116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 956, 836, 617, 134
1. What is the LCM of 484, 956, 836, 617, 134?
Answer: LCM of 484, 956, 836, 617, 134 is 90856673116.
2. How to calculate the LCM of 484, 956, 836, 617, 134?
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 484, 956, 836, 617, 134.
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}.