LCM of 836, 314, 184, 444, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 314, 184, 444, 540 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, 314, 184, 444, 540. So, keep reading to learn more.
Given numbers are 836,314,184,444,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,314,184,444,540 is 30157772040.
Find LCM of 836,314,184,444,540 with Prime Factorization
| 2 | 836, 314, 184, 444, 540 |
| 2 | 418, 157, 92, 222, 270 |
| 3 | 209, 157, 46, 111, 135 |
| 209, 157, 46, 37, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 209 x 157 x 46 x 37 x 45 = 30157772040
Therefore, the lowest common multiple of 836,314,184,444,540 is 30157772040.
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 314 x 184 x 444 x 540 = 11580584463360
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
314 : 1, 2, 157, 314
184 : 1, 2, 4, 8, 23, 46, 92, 184
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,314,184,444,540, is 2.
Now, the common factors can be found like this.
836:2x 2x 11x 19
314:2x 157
184:2x 2x 2x 23
444:2x 2x 3x 37
540:2x 2x 3x 3x 3x 5
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 11580584463360/(2x192)
LCM = 11580584463360/384
LCM = 30157772040
Thus, we can understand that the LCM of 836,314,184,444,540 is 30157772040.
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FAQs on LCM of 836, 314, 184, 444, 540
1. What is the LCM of 836, 314, 184, 444, 540?
Answer: LCM of 836, 314, 184, 444, 540 is 30157772040.
2. How to calculate the LCM of 836, 314, 184, 444, 540?
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, 314, 184, 444, 540.
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}.