LCM of 541, 896, 361, 200, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 896, 361, 200, 740 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 541, 896, 361, 200, 740. So, keep reading to learn more.
Given numbers are 541,896,361,200,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,896,361,200,740 is 161865468800.
Find LCM of 541,896,361,200,740 with Prime Factorization
| 2 | 541, 896, 361, 200, 740 |
| 2 | 541, 448, 361, 100, 370 |
| 2 | 541, 224, 361, 50, 185 |
| 5 | 541, 112, 361, 25, 185 |
| 541, 112, 361, 5, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 541 x 112 x 361 x 5 x 37 = 161865468800
Therefore, the lowest common multiple of 541,896,361,200,740 is 161865468800.
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.
541 x 896 x 361 x 200 x 740 = 25898475008000
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.
541 : 1, 541
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
361 : 1, 19, 361
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,896,361,200,740, is 1.
Now, the common factors can be found like this.
541:541
896:2x 2x 2x 2x 2x 2x 2x 7
361:19x 19
200:2x 2x 2x 5x 5
740:2x 2x 5x 37
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 5 = 160
Therefore, the value for common factors is 160.
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 = 25898475008000/(1x160)
LCM = 25898475008000/160
LCM = 161865468800
Thus, we can understand that the LCM of 541,896,361,200,740 is 161865468800.
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FAQs on LCM of 541, 896, 361, 200, 740
1. What is the LCM of 541, 896, 361, 200, 740?
Answer: LCM of 541, 896, 361, 200, 740 is 161865468800.
2. How to calculate the LCM of 541, 896, 361, 200, 740?
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 541, 896, 361, 200, 740.
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}.