Find the LCM of 373, 687, 221, 746 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 373, 687, 221, 746. So, keep reading to learn more.
Given numbers are 373,687,221,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,687,221,746 is 113262942.
Find LCM of 373,687,221,746 with Prime Factorization
373 | 373, 687, 221, 746 |
1, 687, 221, 2 |
Multiply the prime numbers at the bottom and the left side.
373 x 1 x 687 x 221 x 2 = 113262942
Therefore, the lowest common multiple of 373,687,221,746 is 113262942.
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.
373 x 687 x 221 x 746 = 42247077366
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.
373 : 1, 373
687 : 1, 3, 229, 687
221 : 1, 13, 17, 221
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,687,221,746, is 1.
Now, the common factors can be found like this.
373:373
687:3x 229
221:13x 17
746:2x 373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
373 = 373
Therefore, the value for common factors is 373.
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 = 42247077366/(1x373)
LCM = 42247077366/373
LCM = 113262942
Thus, we can understand that the LCM of 373,687,221,746 is 113262942.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 687, 221, 746?
Answer: LCM of 373, 687, 221, 746 is 113262942.
2. How to calculate the LCM of 373, 687, 221, 746?
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 373, 687, 221, 746.
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}.