LCM of 785, 820, 409, 629, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 820, 409, 629, 796 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 785, 820, 409, 629, 796. So, keep reading to learn more.
Given numbers are 785,820,409,629,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,820,409,629,796 is 6590836446860.
Find LCM of 785,820,409,629,796 with Prime Factorization
| 2 | 785, 820, 409, 629, 796 |
| 2 | 785, 410, 409, 629, 398 |
| 5 | 785, 205, 409, 629, 199 |
| 157, 41, 409, 629, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 157 x 41 x 409 x 629 x 199 = 6590836446860
Therefore, the lowest common multiple of 785,820,409,629,796 is 6590836446860.
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.
785 x 820 x 409 x 629 x 796 = 131816728937200
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.
785 : 1, 5, 157, 785
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
409 : 1, 409
629 : 1, 17, 37, 629
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,820,409,629,796, is 1.
Now, the common factors can be found like this.
785:5x 157
820:2x 2x 5x 41
409:409
629:17x 37
796:2x 2x 199
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 5 = 20
Therefore, the value for common factors is 20.
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 = 131816728937200/(1x20)
LCM = 131816728937200/20
LCM = 6590836446860
Thus, we can understand that the LCM of 785,820,409,629,796 is 6590836446860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 820, 409, 629, 796
1. What is the LCM of 785, 820, 409, 629, 796?
Answer: LCM of 785, 820, 409, 629, 796 is 6590836446860.
2. How to calculate the LCM of 785, 820, 409, 629, 796?
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 785, 820, 409, 629, 796.
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}.