LCM of 409, 975, 780, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 975, 780, 984 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 409, 975, 780, 984. So, keep reading to learn more.
Given numbers are 409,975,780,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,975,780,984 is 130798200.
Find LCM of 409,975,780,984 with Prime Factorization
| 2 | 409, 975, 780, 984 |
| 2 | 409, 975, 390, 492 |
| 3 | 409, 975, 195, 246 |
| 5 | 409, 325, 65, 82 |
| 13 | 409, 13, 65, 82 |
| 409, 1, 5, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 409 x 1 x 5 x 82 = 130798200
Therefore, the lowest common multiple of 409,975,780,984 is 130798200.
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.
409 x 975 x 780 x 984 = 306067788000
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.
409 : 1, 409
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,975,780,984, is 1.
Now, the common factors can be found like this.
409:409
975:3x 5x 5x 13
780:2x 2x 3x 5x 13
984:2x 2x 2x 3x 41
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 3x 5x 13 = 2340
Therefore, the value for common factors is 2340.
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 = 306067788000/(1x2340)
LCM = 306067788000/2340
LCM = 130798200
Thus, we can understand that the LCM of 409,975,780,984 is 130798200.
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FAQs on LCM of 409, 975, 780, 984
1. What is the LCM of 409, 975, 780, 984?
Answer: LCM of 409, 975, 780, 984 is 130798200.
2. How to calculate the LCM of 409, 975, 780, 984?
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 409, 975, 780, 984.
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}.