Find the LCM of 681, 375, 843, 349, 714 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, 375, 843, 349, 714. So, keep reading to learn more.
Given numbers are 681,375,843,349,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,375,843,349,714 is 1986853422750.
Find LCM of 681,375,843,349,714 with Prime Factorization
3 | 681, 375, 843, 349, 714 |
227, 125, 281, 349, 238 |
Multiply the prime numbers at the bottom and the left side.
3 x 227 x 125 x 281 x 349 x 238 = 1986853422750
Therefore, the lowest common multiple of 681,375,843,349,714 is 1986853422750.
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 375 x 843 x 349 x 714 = 53645042414250
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
375 : 1, 3, 5, 15, 25, 75, 125, 375
843 : 1, 3, 281, 843
349 : 1, 349
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,375,843,349,714, is 1.
Now, the common factors can be found like this.
681:3x 227
375:3x 5x 5x 5
843:3x 281
349:349
714:2x 3x 7x 17
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 = 53645042414250/(1x27)
LCM = 53645042414250/27
LCM = 1986853422750
Thus, we can understand that the LCM of 681,375,843,349,714 is 1986853422750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 375, 843, 349, 714?
Answer: LCM of 681, 375, 843, 349, 714 is 1986853422750.
2. How to calculate the LCM of 681, 375, 843, 349, 714?
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, 375, 843, 349, 714.
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}.