LCM of 382, 726, 678, 748, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 726, 678, 748, 346 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 382, 726, 678, 748, 346. So, keep reading to learn more.
Given numbers are 382,726,678,748,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,726,678,748,346 is 92166575556.
Find LCM of 382,726,678,748,346 with Prime Factorization
| 2 | 382, 726, 678, 748, 346 |
| 3 | 191, 363, 339, 374, 173 |
| 11 | 191, 121, 113, 374, 173 |
| 191, 11, 113, 34, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 191 x 11 x 113 x 34 x 173 = 92166575556
Therefore, the lowest common multiple of 382,726,678,748,346 is 92166575556.
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.
382 x 726 x 678 x 748 x 346 = 48663951893568
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.
382 : 1, 2, 191, 382
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
678 : 1, 2, 3, 6, 113, 226, 339, 678
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
346 : 1, 2, 173, 346
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,726,678,748,346, is 2.
Now, the common factors can be found like this.
382:2x 191
726:2x 3x 11x 11
678:2x 3x 113
748:2x 2x 11x 17
346:2x 173
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 48663951893568/(2x264)
LCM = 48663951893568/528
LCM = 92166575556
Thus, we can understand that the LCM of 382,726,678,748,346 is 92166575556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 726, 678, 748, 346
1. What is the LCM of 382, 726, 678, 748, 346?
Answer: LCM of 382, 726, 678, 748, 346 is 92166575556.
2. How to calculate the LCM of 382, 726, 678, 748, 346?
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 382, 726, 678, 748, 346.
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}.