LCM of 341, 836, 722, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 836, 722, 278 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 341, 836, 722, 278. So, keep reading to learn more.
Given numbers are 341,836,722,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,836,722,278 is 68444156.
Find LCM of 341,836,722,278 with Prime Factorization
| 2 | 341, 836, 722, 278 |
| 11 | 341, 418, 361, 139 |
| 19 | 31, 38, 361, 139 |
| 31, 2, 19, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 31 x 2 x 19 x 139 = 68444156
Therefore, the lowest common multiple of 341,836,722,278 is 68444156.
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.
341 x 836 x 722 x 278 = 57219314416
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.
341 : 1, 11, 31, 341
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
722 : 1, 2, 19, 38, 361, 722
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,836,722,278, is 1.
Now, the common factors can be found like this.
341:11x 31
836:2x 2x 11x 19
722:2x 19x 19
278:2x 139
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 57219314416/(1x836)
LCM = 57219314416/836
LCM = 68444156
Thus, we can understand that the LCM of 341,836,722,278 is 68444156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 836, 722, 278
1. What is the LCM of 341, 836, 722, 278?
Answer: LCM of 341, 836, 722, 278 is 68444156.
2. How to calculate the LCM of 341, 836, 722, 278?
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 341, 836, 722, 278.
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}.