Find the LCM of 294, 906, 390, 707 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, 906, 390, 707. So, keep reading to learn more.
Given numbers are 294,906,390,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,906,390,707 is 291446610.
Find LCM of 294,906,390,707 with Prime Factorization
2 | 294, 906, 390, 707 |
3 | 147, 453, 195, 707 |
7 | 49, 151, 65, 707 |
7, 151, 65, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 151 x 65 x 101 = 291446610
Therefore, the lowest common multiple of 294,906,390,707 is 291446610.
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 906 x 390 x 707 = 73444545720
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
906 : 1, 2, 3, 6, 151, 302, 453, 906
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,906,390,707, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
906:2x 3x 151
390:2x 3x 5x 13
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 73444545720/(1x252)
LCM = 73444545720/252
LCM = 291446610
Thus, we can understand that the LCM of 294,906,390,707 is 291446610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 294, 906, 390, 707?
Answer: LCM of 294, 906, 390, 707 is 291446610.
2. How to calculate the LCM of 294, 906, 390, 707?
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, 906, 390, 707.
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}.