Find the LCM of 497, 680, 729, 724, 724 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 497, 680, 729, 724, 724. So, keep reading to learn more.
Given numbers are 497,680,729,724,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,680,729,724,724 is 44593484040.
Find LCM of 497,680,729,724,724 with Prime Factorization
2 | 497, 680, 729, 724, 724 |
2 | 497, 340, 729, 362, 362 |
181 | 497, 170, 729, 181, 181 |
497, 170, 729, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 497 x 170 x 729 x 1 x 1 = 44593484040
Therefore, the lowest common multiple of 497,680,729,724,724 is 44593484040.
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.
497 x 680 x 729 x 724 x 724 = 129142729779840
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.
497 : 1, 7, 71, 497
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
729 : 1, 3, 9, 27, 81, 243, 729
724 : 1, 2, 4, 181, 362, 724
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,680,729,724,724, is 1.
Now, the common factors can be found like this.
497:7x 71
680:2x 2x 2x 5x 17
729:3x 3x 3x 3x 3x 3
724:2x 2x 181
724:2x 2x 181
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 181 = 2896
Therefore, the value for common factors is 2896.
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 = 129142729779840/(1x2896)
LCM = 129142729779840/2896
LCM = 44593484040
Thus, we can understand that the LCM of 497,680,729,724,724 is 44593484040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 680, 729, 724, 724?
Answer: LCM of 497, 680, 729, 724, 724 is 44593484040.
2. How to calculate the LCM of 497, 680, 729, 724, 724?
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 497, 680, 729, 724, 724.
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}.