Find the LCM of 497, 820, 589, 533, 611 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, 820, 589, 533, 611. So, keep reading to learn more.
Given numbers are 497,820,589,533,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,820,589,533,611 is 146665087660.
Find LCM of 497,820,589,533,611 with Prime Factorization
13 | 497, 820, 589, 533, 611 |
41 | 497, 820, 589, 41, 47 |
497, 20, 589, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
13 x 41 x 497 x 20 x 589 x 1 x 47 = 146665087660
Therefore, the lowest common multiple of 497,820,589,533,611 is 146665087660.
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 820 x 589 x 533 x 611 = 78172491722780
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
589 : 1, 19, 31, 589
533 : 1, 13, 41, 533
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,820,589,533,611, is 1.
Now, the common factors can be found like this.
497:7x 71
820:2x 2x 5x 41
589:19x 31
533:13x 41
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 41 = 533
Therefore, the value for common factors is 533.
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 = 78172491722780/(1x533)
LCM = 78172491722780/533
LCM = 146665087660
Thus, we can understand that the LCM of 497,820,589,533,611 is 146665087660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 820, 589, 533, 611?
Answer: LCM of 497, 820, 589, 533, 611 is 146665087660.
2. How to calculate the LCM of 497, 820, 589, 533, 611?
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, 820, 589, 533, 611.
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}.