LCM of 349, 986, 418, 374, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 349, 986, 418, 374, 987 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 349, 986, 418, 374, 987. So, keep reading to learn more.
Given numbers are 349,986,418,374,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,986,418,374,987 is 70984868262.
Find LCM of 349,986,418,374,987 with Prime Factorization
| 2 | 349, 986, 418, 374, 987 |
| 11 | 349, 493, 209, 187, 987 |
| 17 | 349, 493, 19, 17, 987 |
| 349, 29, 19, 1, 987 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 349 x 29 x 19 x 1 x 987 = 70984868262
Therefore, the lowest common multiple of 349,986,418,374,987 is 70984868262.
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.
349 x 986 x 418 x 374 x 987 = 53096681459976
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.
349 : 1, 349
986 : 1, 2, 17, 29, 34, 58, 493, 986
418 : 1, 2, 11, 19, 22, 38, 209, 418
374 : 1, 2, 11, 17, 22, 34, 187, 374
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,986,418,374,987, is 1.
Now, the common factors can be found like this.
349:349
986:2x 17x 29
418:2x 11x 19
374:2x 11x 17
987:3x 7x 47
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 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 53096681459976/(1x748)
LCM = 53096681459976/748
LCM = 70984868262
Thus, we can understand that the LCM of 349,986,418,374,987 is 70984868262.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 349, 986, 418, 374, 987
1. What is the LCM of 349, 986, 418, 374, 987?
Answer: LCM of 349, 986, 418, 374, 987 is 70984868262.
2. How to calculate the LCM of 349, 986, 418, 374, 987?
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 349, 986, 418, 374, 987.
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}.