Find the LCM of 722, 756, 460, 972 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 722, 756, 460, 972. So, keep reading to learn more.
Given numbers are 722,756,460,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,756,460,972 is 282468060.
Find LCM of 722,756,460,972 with Prime Factorization
2 | 722, 756, 460, 972 |
2 | 361, 378, 230, 486 |
3 | 361, 189, 115, 243 |
3 | 361, 63, 115, 81 |
3 | 361, 21, 115, 27 |
361, 7, 115, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 361 x 7 x 115 x 9 = 282468060
Therefore, the lowest common multiple of 722,756,460,972 is 282468060.
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.
722 x 756 x 460 x 972 = 244052403840
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.
722 : 1, 2, 19, 38, 361, 722
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,756,460,972, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
756:2x 2x 3x 3x 3x 7
460:2x 2x 5x 23
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 244052403840/(2x432)
LCM = 244052403840/864
LCM = 282468060
Thus, we can understand that the LCM of 722,756,460,972 is 282468060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 756, 460, 972?
Answer: LCM of 722, 756, 460, 972 is 282468060.
2. How to calculate the LCM of 722, 756, 460, 972?
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 722, 756, 460, 972.
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}.