LCM of 104, 770, 836, 890, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 770, 836, 890, 755 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 104, 770, 836, 890, 755. So, keep reading to learn more.
Given numbers are 104,770,836,890,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,770,836,890,755 is 10223853640.
Find LCM of 104,770,836,890,755 with Prime Factorization
| 2 | 104, 770, 836, 890, 755 |
| 2 | 52, 385, 418, 445, 755 |
| 5 | 26, 385, 209, 445, 755 |
| 11 | 26, 77, 209, 89, 151 |
| 26, 7, 19, 89, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 26 x 7 x 19 x 89 x 151 = 10223853640
Therefore, the lowest common multiple of 104,770,836,890,755 is 10223853640.
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.
104 x 770 x 836 x 890 x 755 = 44984956016000
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
890 : 1, 2, 5, 10, 89, 178, 445, 890
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,770,836,890,755, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
770:2x 5x 7x 11
836:2x 2x 11x 19
890:2x 5x 89
755:5x 151
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 5x 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 44984956016000/(1x4400)
LCM = 44984956016000/4400
LCM = 10223853640
Thus, we can understand that the LCM of 104,770,836,890,755 is 10223853640.
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FAQs on LCM of 104, 770, 836, 890, 755
1. What is the LCM of 104, 770, 836, 890, 755?
Answer: LCM of 104, 770, 836, 890, 755 is 10223853640.
2. How to calculate the LCM of 104, 770, 836, 890, 755?
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 104, 770, 836, 890, 755.
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}.