LCM of 854, 203, 380, 377, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 203, 380, 377, 986 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 854, 203, 380, 377, 986. So, keep reading to learn more.
Given numbers are 854,203,380,377,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,203,380,377,986 is 1039924340.
Find LCM of 854,203,380,377,986 with Prime Factorization
| 2 | 854, 203, 380, 377, 986 |
| 7 | 427, 203, 190, 377, 493 |
| 29 | 61, 29, 190, 377, 493 |
| 61, 1, 190, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 61 x 1 x 190 x 13 x 17 = 1039924340
Therefore, the lowest common multiple of 854,203,380,377,986 is 1039924340.
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.
854 x 203 x 380 x 377 x 986 = 24488138358320
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
203 : 1, 7, 29, 203
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
377 : 1, 13, 29, 377
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,203,380,377,986, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
203:7x 29
380:2x 2x 5x 19
377:13x 29
986:2x 17x 29
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 7x 29x 29 = 23548
Therefore, the value for common factors is 23548.
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 = 24488138358320/(1x23548)
LCM = 24488138358320/23548
LCM = 1039924340
Thus, we can understand that the LCM of 854,203,380,377,986 is 1039924340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 854, 203, 380, 377, 986
1. What is the LCM of 854, 203, 380, 377, 986?
Answer: LCM of 854, 203, 380, 377, 986 is 1039924340.
2. How to calculate the LCM of 854, 203, 380, 377, 986?
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 854, 203, 380, 377, 986.
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}.