LCM of 118, 836, 420, 531, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 836, 420, 531, 121 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 118, 836, 420, 531, 121. So, keep reading to learn more.
Given numbers are 118,836,420,531,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,836,420,531,121 is 170907660.
Find LCM of 118,836,420,531,121 with Prime Factorization
| 2 | 118, 836, 420, 531, 121 |
| 2 | 59, 418, 210, 531, 121 |
| 3 | 59, 209, 105, 531, 121 |
| 11 | 59, 209, 35, 177, 121 |
| 59 | 59, 19, 35, 177, 11 |
| 1, 19, 35, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 59 x 1 x 19 x 35 x 3 x 11 = 170907660
Therefore, the lowest common multiple of 118,836,420,531,121 is 170907660.
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.
118 x 836 x 420 x 531 x 121 = 2662057712160
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.
118 : 1, 2, 59, 118
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
531 : 1, 3, 9, 59, 177, 531
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,836,420,531,121, is 1.
Now, the common factors can be found like this.
118:2x 59
836:2x 2x 11x 19
420:2x 2x 3x 5x 7
531:3x 3x 59
121:11x 11
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 11x 59 = 15576
Therefore, the value for common factors is 15576.
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 = 2662057712160/(1x15576)
LCM = 2662057712160/15576
LCM = 170907660
Thus, we can understand that the LCM of 118,836,420,531,121 is 170907660.
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FAQs on LCM of 118, 836, 420, 531, 121
1. What is the LCM of 118, 836, 420, 531, 121?
Answer: LCM of 118, 836, 420, 531, 121 is 170907660.
2. How to calculate the LCM of 118, 836, 420, 531, 121?
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 118, 836, 420, 531, 121.
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}.