LCM of 361, 991, 570, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 991, 570, 380 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 361, 991, 570, 380. So, keep reading to learn more.
Given numbers are 361,991,570,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,991,570,380 is 21465060.
Find LCM of 361,991,570,380 with Prime Factorization
| 2 | 361, 991, 570, 380 |
| 5 | 361, 991, 285, 190 |
| 19 | 361, 991, 57, 38 |
| 19, 991, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 19 x 991 x 3 x 2 = 21465060
Therefore, the lowest common multiple of 361,991,570,380 is 21465060.
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.
361 x 991 x 570 x 380 = 77488866600
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.
361 : 1, 19, 361
991 : 1, 991
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,991,570,380, is 1.
Now, the common factors can be found like this.
361:19x 19
991:991
570:2x 3x 5x 19
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 19 = 3610
Therefore, the value for common factors is 3610.
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 = 77488866600/(1x3610)
LCM = 77488866600/3610
LCM = 21465060
Thus, we can understand that the LCM of 361,991,570,380 is 21465060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 991, 570, 380
1. What is the LCM of 361, 991, 570, 380?
Answer: LCM of 361, 991, 570, 380 is 21465060.
2. How to calculate the LCM of 361, 991, 570, 380?
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 361, 991, 570, 380.
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}.