LCM of 780, 409, 869, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 409, 869, 792 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 780, 409, 869, 792. So, keep reading to learn more.
Given numbers are 780,409,869,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,409,869,792 is 1663370280.
Find LCM of 780,409,869,792 with Prime Factorization
| 2 | 780, 409, 869, 792 |
| 2 | 390, 409, 869, 396 |
| 3 | 195, 409, 869, 198 |
| 11 | 65, 409, 869, 66 |
| 65, 409, 79, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 65 x 409 x 79 x 6 = 1663370280
Therefore, the lowest common multiple of 780,409,869,792 is 1663370280.
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.
780 x 409 x 869 x 792 = 219564876960
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
409 : 1, 409
869 : 1, 11, 79, 869
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,409,869,792, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
409:409
869:11x 79
792:2x 2x 2x 3x 3x 11
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 219564876960/(1x132)
LCM = 219564876960/132
LCM = 1663370280
Thus, we can understand that the LCM of 780,409,869,792 is 1663370280.
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FAQs on LCM of 780, 409, 869, 792
1. What is the LCM of 780, 409, 869, 792?
Answer: LCM of 780, 409, 869, 792 is 1663370280.
2. How to calculate the LCM of 780, 409, 869, 792?
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 780, 409, 869, 792.
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}.