Find the LCM of 294, 386, 721, 721, 745 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 294, 386, 721, 721, 745. So, keep reading to learn more.
Given numbers are 294,386,721,721,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,386,721,721,745 is 4354097370.
Find LCM of 294,386,721,721,745 with Prime Factorization
2 | 294, 386, 721, 721, 745 |
7 | 147, 193, 721, 721, 745 |
103 | 21, 193, 103, 103, 745 |
21, 193, 1, 1, 745 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 103 x 21 x 193 x 1 x 1 x 745 = 4354097370
Therefore, the lowest common multiple of 294,386,721,721,745 is 4354097370.
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.
294 x 386 x 721 x 721 x 745 = 43950258852780
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
386 : 1, 2, 193, 386
721 : 1, 7, 103, 721
721 : 1, 7, 103, 721
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,386,721,721,745, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
386:2x 193
721:7x 103
721:7x 103
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 103 = 10094
Therefore, the value for common factors is 10094.
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 = 43950258852780/(1x10094)
LCM = 43950258852780/10094
LCM = 4354097370
Thus, we can understand that the LCM of 294,386,721,721,745 is 4354097370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 294, 386, 721, 721, 745?
Answer: LCM of 294, 386, 721, 721, 745 is 4354097370.
2. How to calculate the LCM of 294, 386, 721, 721, 745?
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 294, 386, 721, 721, 745.
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}.