Find the LCM of 681, 879, 613, 387, 546 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 681, 879, 613, 387, 546. So, keep reading to learn more.
Given numbers are 681,879,613,387,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,879,613,387,546 is 2871681729462.
Find LCM of 681,879,613,387,546 with Prime Factorization
3 | 681, 879, 613, 387, 546 |
227, 293, 613, 129, 182 |
Multiply the prime numbers at the bottom and the left side.
3 x 227 x 293 x 613 x 129 x 182 = 2871681729462
Therefore, the lowest common multiple of 681,879,613,387,546 is 2871681729462.
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.
681 x 879 x 613 x 387 x 546 = 77535406695474
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.
681 : 1, 3, 227, 681
879 : 1, 3, 293, 879
613 : 1, 613
387 : 1, 3, 9, 43, 129, 387
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,879,613,387,546, is 1.
Now, the common factors can be found like this.
681:3x 227
879:3x 293
613:613
387:3x 3x 43
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 77535406695474/(1x27)
LCM = 77535406695474/27
LCM = 2871681729462
Thus, we can understand that the LCM of 681,879,613,387,546 is 2871681729462.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 879, 613, 387, 546?
Answer: LCM of 681, 879, 613, 387, 546 is 2871681729462.
2. How to calculate the LCM of 681, 879, 613, 387, 546?
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 681, 879, 613, 387, 546.
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}.