LCM of 706, 784, 350, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 784, 350, 400 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 706, 784, 350, 400. So, keep reading to learn more.
Given numbers are 706,784,350,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,784,350,400 is 6918800.
Find LCM of 706,784,350,400 with Prime Factorization
| 2 | 706, 784, 350, 400 |
| 2 | 353, 392, 175, 200 |
| 2 | 353, 196, 175, 100 |
| 2 | 353, 98, 175, 50 |
| 5 | 353, 49, 175, 25 |
| 5 | 353, 49, 35, 5 |
| 7 | 353, 49, 7, 1 |
| 353, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 7 x 353 x 1 x 7 x 1 = 6918800
Therefore, the lowest common multiple of 706,784,350,400 is 6918800.
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.
706 x 784 x 350 x 400 = 77490560000
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.
706 : 1, 2, 353, 706
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,784,350,400, is 2.
Now, the common factors can be found like this.
706:2x 353
784:2x 2x 2x 2x 7x 7
350:2x 5x 5x 7
400:2x 2x 2x 2x 5x 5
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 5x 5x 7 = 5600
Therefore, the value for common factors is 5600.
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 = 77490560000/(2x5600)
LCM = 77490560000/11200
LCM = 6918800
Thus, we can understand that the LCM of 706,784,350,400 is 6918800.
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FAQs on LCM of 706, 784, 350, 400
1. What is the LCM of 706, 784, 350, 400?
Answer: LCM of 706, 784, 350, 400 is 6918800.
2. How to calculate the LCM of 706, 784, 350, 400?
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 706, 784, 350, 400.
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}.