LCM of 700, 389, 120, 102, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 389, 120, 102, 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 700, 389, 120, 102, 400. So, keep reading to learn more.
Given numbers are 700,389,120,102,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,389,120,102,400 is 55549200.
Find LCM of 700,389,120,102,400 with Prime Factorization
| 2 | 700, 389, 120, 102, 400 |
| 2 | 350, 389, 60, 51, 200 |
| 2 | 175, 389, 30, 51, 100 |
| 3 | 175, 389, 15, 51, 50 |
| 5 | 175, 389, 5, 17, 50 |
| 5 | 35, 389, 1, 17, 10 |
| 7, 389, 1, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 7 x 389 x 1 x 17 x 2 = 55549200
Therefore, the lowest common multiple of 700,389,120,102,400 is 55549200.
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 389 x 120 x 102 x 400 = 1333180800000
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
389 : 1, 389
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
102 : 1, 2, 3, 6, 17, 34, 51, 102
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,389,120,102,400, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
389:389
120:2x 2x 2x 3x 5
102:2x 3x 17
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 2x 3x 5x 5x 5 = 24000
Therefore, the value for common factors is 24000.
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 = 1333180800000/(1x24000)
LCM = 1333180800000/24000
LCM = 55549200
Thus, we can understand that the LCM of 700,389,120,102,400 is 55549200.
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FAQs on LCM of 700, 389, 120, 102, 400
1. What is the LCM of 700, 389, 120, 102, 400?
Answer: LCM of 700, 389, 120, 102, 400 is 55549200.
2. How to calculate the LCM of 700, 389, 120, 102, 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 700, 389, 120, 102, 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}.