LCM of 368, 682, 682, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 682, 682, 874 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 368, 682, 682, 874. So, keep reading to learn more.
Given numbers are 368,682,682,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,682,682,874 is 2384272.
Find LCM of 368,682,682,874 with Prime Factorization
| 2 | 368, 682, 682, 874 |
| 11 | 184, 341, 341, 437 |
| 23 | 184, 31, 31, 437 |
| 31 | 8, 31, 31, 19 |
| 8, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 31 x 8 x 1 x 1 x 19 = 2384272
Therefore, the lowest common multiple of 368,682,682,874 is 2384272.
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.
368 x 682 x 682 x 874 = 149598762368
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
682 : 1, 2, 11, 22, 31, 62, 341, 682
682 : 1, 2, 11, 22, 31, 62, 341, 682
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,682,682,874, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
682:2x 11x 31
682:2x 11x 31
874:2x 19x 23
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 23x 31 = 31372
Therefore, the value for common factors is 31372.
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 = 149598762368/(2x31372)
LCM = 149598762368/62744
LCM = 2384272
Thus, we can understand that the LCM of 368,682,682,874 is 2384272.
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FAQs on LCM of 368, 682, 682, 874
1. What is the LCM of 368, 682, 682, 874?
Answer: LCM of 368, 682, 682, 874 is 2384272.
2. How to calculate the LCM of 368, 682, 682, 874?
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 368, 682, 682, 874.
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}.