Find the LCM of 814, 376, 587, 427, 722 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 814, 376, 587, 427, 722. So, keep reading to learn more.
Given numbers are 814,376,587,427,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,376,587,427,722 is 13846991714248.
Find LCM of 814,376,587,427,722 with Prime Factorization
2 | 814, 376, 587, 427, 722 |
407, 188, 587, 427, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 188 x 587 x 427 x 361 = 13846991714248
Therefore, the lowest common multiple of 814,376,587,427,722 is 13846991714248.
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.
814 x 376 x 587 x 427 x 722 = 55387966856992
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
376 : 1, 2, 4, 8, 47, 94, 188, 376
587 : 1, 587
427 : 1, 7, 61, 427
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,376,587,427,722, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
376:2x 2x 2x 47
587:587
427:7x 61
722:2x 19x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 55387966856992/(1x4)
LCM = 55387966856992/4
LCM = 13846991714248
Thus, we can understand that the LCM of 814,376,587,427,722 is 13846991714248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 376, 587, 427, 722?
Answer: LCM of 814, 376, 587, 427, 722 is 13846991714248.
2. How to calculate the LCM of 814, 376, 587, 427, 722?
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 814, 376, 587, 427, 722.
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}.