LCM of 700, 784, 288, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 784, 288, 409 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 700, 784, 288, 409. So, keep reading to learn more.
Given numbers are 700,784,288,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,784,288,409 is 144295200.
Find LCM of 700,784,288,409 with Prime Factorization
| 2 | 700, 784, 288, 409 |
| 2 | 350, 392, 144, 409 |
| 2 | 175, 196, 72, 409 |
| 2 | 175, 98, 36, 409 |
| 7 | 175, 49, 18, 409 |
| 25, 7, 18, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 25 x 7 x 18 x 409 = 144295200
Therefore, the lowest common multiple of 700,784,288,409 is 144295200.
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.
700 x 784 x 288 x 409 = 64644249600
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,784,288,409, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
784:2x 2x 2x 2x 7x 7
288:2x 2x 2x 2x 2x 3x 3
409:409
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 2x 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 64644249600/(1x448)
LCM = 64644249600/448
LCM = 144295200
Thus, we can understand that the LCM of 700,784,288,409 is 144295200.
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FAQs on LCM of 700, 784, 288, 409
1. What is the LCM of 700, 784, 288, 409?
Answer: LCM of 700, 784, 288, 409 is 144295200.
2. How to calculate the LCM of 700, 784, 288, 409?
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 700, 784, 288, 409.
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}.