LCM of 209, 986, 630, 382, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 986, 630, 382, 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 209, 986, 630, 382, 377. So, keep reading to learn more.
Given numbers are 209,986,630,382,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,986,630,382,377 is 161179748730.
Find LCM of 209,986,630,382,377 with Prime Factorization
| 2 | 209, 986, 630, 382, 377 |
| 29 | 209, 493, 315, 191, 377 |
| 209, 17, 315, 191, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 209 x 17 x 315 x 191 x 13 = 161179748730
Therefore, the lowest common multiple of 209,986,630,382,377 is 161179748730.
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.
209 x 986 x 630 x 382 x 377 = 18696850852680
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.
209 : 1, 11, 19, 209
986 : 1, 2, 17, 29, 34, 58, 493, 986
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
382 : 1, 2, 191, 382
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,986,630,382,377, is 1.
Now, the common factors can be found like this.
209:11x 19
986:2x 17x 29
630:2x 3x 3x 5x 7
382:2x 191
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.
2x 2x 29 = 116
Therefore, the value for common factors is 116.
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 = 18696850852680/(1x116)
LCM = 18696850852680/116
LCM = 161179748730
Thus, we can understand that the LCM of 209,986,630,382,377 is 161179748730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 986, 630, 382, 377
1. What is the LCM of 209, 986, 630, 382, 377?
Answer: LCM of 209, 986, 630, 382, 377 is 161179748730.
2. How to calculate the LCM of 209, 986, 630, 382, 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 209, 986, 630, 382, 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}.