Find the LCM of 723, 635, 462, 697, 497 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 723, 635, 462, 697, 497. So, keep reading to learn more.
Given numbers are 723,635,462,697,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,635,462,697,497 is 3498838286790.
Find LCM of 723,635,462,697,497 with Prime Factorization
3 | 723, 635, 462, 697, 497 |
7 | 241, 635, 154, 697, 497 |
241, 635, 22, 697, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 241 x 635 x 22 x 697 x 71 = 3498838286790
Therefore, the lowest common multiple of 723,635,462,697,497 is 3498838286790.
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.
723 x 635 x 462 x 697 x 497 = 73475604022590
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.
723 : 1, 3, 241, 723
635 : 1, 5, 127, 635
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
697 : 1, 17, 41, 697
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,635,462,697,497, is 1.
Now, the common factors can be found like this.
723:3x 241
635:5x 127
462:2x 3x 7x 11
697:17x 41
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 73475604022590/(1x21)
LCM = 73475604022590/21
LCM = 3498838286790
Thus, we can understand that the LCM of 723,635,462,697,497 is 3498838286790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 635, 462, 697, 497?
Answer: LCM of 723, 635, 462, 697, 497 is 3498838286790.
2. How to calculate the LCM of 723, 635, 462, 697, 497?
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 723, 635, 462, 697, 497.
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}.