LCM of 379, 870, 986, 203, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 870, 986, 203, 363 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 379, 870, 986, 203, 363. So, keep reading to learn more.
Given numbers are 379,870,986,203,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,870,986,203,363 is 4747782270.
Find LCM of 379,870,986,203,363 with Prime Factorization
| 2 | 379, 870, 986, 203, 363 |
| 3 | 379, 435, 493, 203, 363 |
| 29 | 379, 145, 493, 203, 121 |
| 379, 5, 17, 7, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 379 x 5 x 17 x 7 x 121 = 4747782270
Therefore, the lowest common multiple of 379,870,986,203,363 is 4747782270.
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.
379 x 870 x 986 x 203 x 363 = 23957309334420
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.
379 : 1, 379
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
986 : 1, 2, 17, 29, 34, 58, 493, 986
203 : 1, 7, 29, 203
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,870,986,203,363, is 1.
Now, the common factors can be found like this.
379:379
870:2x 3x 5x 29
986:2x 17x 29
203:7x 29
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 29x 29 = 5046
Therefore, the value for common factors is 5046.
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 = 23957309334420/(1x5046)
LCM = 23957309334420/5046
LCM = 4747782270
Thus, we can understand that the LCM of 379,870,986,203,363 is 4747782270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 870, 986, 203, 363
1. What is the LCM of 379, 870, 986, 203, 363?
Answer: LCM of 379, 870, 986, 203, 363 is 4747782270.
2. How to calculate the LCM of 379, 870, 986, 203, 363?
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 379, 870, 986, 203, 363.
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}.