LCM of 770, 346, 910, 845, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 346, 910, 845, 391 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 770, 346, 910, 845, 391. So, keep reading to learn more.
Given numbers are 770,346,910,845,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,346,910,845,391 is 8802383590.
Find LCM of 770,346,910,845,391 with Prime Factorization
| 2 | 770, 346, 910, 845, 391 |
| 5 | 385, 173, 455, 845, 391 |
| 7 | 77, 173, 91, 169, 391 |
| 13 | 11, 173, 13, 169, 391 |
| 11, 173, 1, 13, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 11 x 173 x 1 x 13 x 391 = 8802383590
Therefore, the lowest common multiple of 770,346,910,845,391 is 8802383590.
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.
770 x 346 x 910 x 845 x 391 = 80101690669000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
346 : 1, 2, 173, 346
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
845 : 1, 5, 13, 65, 169, 845
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,346,910,845,391, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
346:2x 173
910:2x 5x 7x 13
845:5x 13x 13
391:17x 23
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 5x 5x 7x 13 = 9100
Therefore, the value for common factors is 9100.
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 = 80101690669000/(1x9100)
LCM = 80101690669000/9100
LCM = 8802383590
Thus, we can understand that the LCM of 770,346,910,845,391 is 8802383590.
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FAQs on LCM of 770, 346, 910, 845, 391
1. What is the LCM of 770, 346, 910, 845, 391?
Answer: LCM of 770, 346, 910, 845, 391 is 8802383590.
2. How to calculate the LCM of 770, 346, 910, 845, 391?
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 770, 346, 910, 845, 391.
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}.