Find the LCM of 572, 847, 740, 774, 686 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 572, 847, 740, 774, 686. So, keep reading to learn more.
Given numbers are 572,847,740,774,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,847,740,774,686 is 154513178820.
Find LCM of 572,847,740,774,686 with Prime Factorization
2 | 572, 847, 740, 774, 686 |
2 | 286, 847, 370, 387, 343 |
7 | 143, 847, 185, 387, 343 |
11 | 143, 121, 185, 387, 49 |
13, 11, 185, 387, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 13 x 11 x 185 x 387 x 49 = 154513178820
Therefore, the lowest common multiple of 572,847,740,774,686 is 154513178820.
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.
572 x 847 x 740 x 774 x 686 = 190360236306240
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
847 : 1, 7, 11, 77, 121, 847
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,847,740,774,686, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
847:7x 11x 11
740:2x 2x 5x 37
774:2x 3x 3x 43
686:2x 7x 7x 7
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 2x 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 190360236306240/(1x1232)
LCM = 190360236306240/1232
LCM = 154513178820
Thus, we can understand that the LCM of 572,847,740,774,686 is 154513178820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 847, 740, 774, 686?
Answer: LCM of 572, 847, 740, 774, 686 is 154513178820.
2. How to calculate the LCM of 572, 847, 740, 774, 686?
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 572, 847, 740, 774, 686.
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}.