LCM of 398, 180, 836, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 180, 836, 594 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 398, 180, 836, 594. So, keep reading to learn more.
Given numbers are 398,180,836,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,180,836,594 is 22459140.
Find LCM of 398,180,836,594 with Prime Factorization
| 2 | 398, 180, 836, 594 |
| 2 | 199, 90, 418, 297 |
| 3 | 199, 45, 209, 297 |
| 3 | 199, 15, 209, 99 |
| 11 | 199, 5, 209, 33 |
| 199, 5, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 199 x 5 x 19 x 3 = 22459140
Therefore, the lowest common multiple of 398,180,836,594 is 22459140.
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.
398 x 180 x 836 x 594 = 35575277760
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.
398 : 1, 2, 199, 398
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,180,836,594, is 2.
Now, the common factors can be found like this.
398:2x 199
180:2x 2x 3x 3x 5
836:2x 2x 11x 19
594:2x 3x 3x 3x 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 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 35575277760/(2x792)
LCM = 35575277760/1584
LCM = 22459140
Thus, we can understand that the LCM of 398,180,836,594 is 22459140.
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FAQs on LCM of 398, 180, 836, 594
1. What is the LCM of 398, 180, 836, 594?
Answer: LCM of 398, 180, 836, 594 is 22459140.
2. How to calculate the LCM of 398, 180, 836, 594?
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 398, 180, 836, 594.
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}.