LCM of 398, 145, 845, 209, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 145, 845, 209, 377 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 398, 145, 845, 209, 377. So, keep reading to learn more.
Given numbers are 398,145,845,209,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,145,845,209,377 is 2038374910.
Find LCM of 398,145,845,209,377 with Prime Factorization
| 5 | 398, 145, 845, 209, 377 |
| 13 | 398, 29, 169, 209, 377 |
| 29 | 398, 29, 13, 209, 29 |
| 398, 1, 13, 209, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 29 x 398 x 1 x 13 x 209 x 1 = 2038374910
Therefore, the lowest common multiple of 398,145,845,209,377 is 2038374910.
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.
398 x 145 x 845 x 209 x 377 = 3842336705350
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.
398 : 1, 2, 199, 398
145 : 1, 5, 29, 145
845 : 1, 5, 13, 65, 169, 845
209 : 1, 11, 19, 209
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,145,845,209,377, is 1.
Now, the common factors can be found like this.
398:2x 199
145:5x 29
845:5x 13x 13
209:11x 19
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 29 = 1885
Therefore, the value for common factors is 1885.
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 = 3842336705350/(1x1885)
LCM = 3842336705350/1885
LCM = 2038374910
Thus, we can understand that the LCM of 398,145,845,209,377 is 2038374910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 145, 845, 209, 377
1. What is the LCM of 398, 145, 845, 209, 377?
Answer: LCM of 398, 145, 845, 209, 377 is 2038374910.
2. How to calculate the LCM of 398, 145, 845, 209, 377?
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 398, 145, 845, 209, 377.
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}.