LCM of 992, 682, 619, 645, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 682, 619, 645, 342 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 992, 682, 619, 645, 342. So, keep reading to learn more.
Given numbers are 992,682,619,645,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,682,619,645,342 is 248330221920.
Find LCM of 992,682,619,645,342 with Prime Factorization
| 2 | 992, 682, 619, 645, 342 |
| 3 | 496, 341, 619, 645, 171 |
| 31 | 496, 341, 619, 215, 57 |
| 16, 11, 619, 215, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 16 x 11 x 619 x 215 x 57 = 248330221920
Therefore, the lowest common multiple of 992,682,619,645,342 is 248330221920.
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.
992 x 682 x 619 x 645 x 342 = 92378842554240
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
682 : 1, 2, 11, 22, 31, 62, 341, 682
619 : 1, 619
645 : 1, 3, 5, 15, 43, 129, 215, 645
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,682,619,645,342, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
682:2x 11x 31
619:619
645:3x 5x 43
342:2x 3x 3x 19
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 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 92378842554240/(1x372)
LCM = 92378842554240/372
LCM = 248330221920
Thus, we can understand that the LCM of 992,682,619,645,342 is 248330221920.
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FAQs on LCM of 992, 682, 619, 645, 342
1. What is the LCM of 992, 682, 619, 645, 342?
Answer: LCM of 992, 682, 619, 645, 342 is 248330221920.
2. How to calculate the LCM of 992, 682, 619, 645, 342?
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 992, 682, 619, 645, 342.
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}.