Find the LCM of 543, 602, 906, 506, 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 543, 602, 906, 506, 497. So, keep reading to learn more.
Given numbers are 543,602,906,506,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,602,906,506,497 is 886649835918.
Find LCM of 543,602,906,506,497 with Prime Factorization
2 | 543, 602, 906, 506, 497 |
3 | 543, 301, 453, 253, 497 |
7 | 181, 301, 151, 253, 497 |
181, 43, 151, 253, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 181 x 43 x 151 x 253 x 71 = 886649835918
Therefore, the lowest common multiple of 543,602,906,506,497 is 886649835918.
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.
543 x 602 x 906 x 506 x 497 = 74478586217112
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.
543 : 1, 3, 181, 543
602 : 1, 2, 7, 14, 43, 86, 301, 602
906 : 1, 2, 3, 6, 151, 302, 453, 906
506 : 1, 2, 11, 22, 23, 46, 253, 506
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,602,906,506,497, is 1.
Now, the common factors can be found like this.
543:3x 181
602:2x 7x 43
906:2x 3x 151
506:2x 11x 23
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.
2x 2x 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 74478586217112/(1x84)
LCM = 74478586217112/84
LCM = 886649835918
Thus, we can understand that the LCM of 543,602,906,506,497 is 886649835918.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 602, 906, 506, 497?
Answer: LCM of 543, 602, 906, 506, 497 is 886649835918.
2. How to calculate the LCM of 543, 602, 906, 506, 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 543, 602, 906, 506, 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}.