Find the LCM of 402, 523, 561, 813, 686 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 402, 523, 561, 813, 686. So, keep reading to learn more.
Given numbers are 402,523,561,813,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,523,561,813,686 is 3654540333906.
Find LCM of 402,523,561,813,686 with Prime Factorization
2 | 402, 523, 561, 813, 686 |
3 | 201, 523, 561, 813, 343 |
67, 523, 187, 271, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 523 x 187 x 271 x 343 = 3654540333906
Therefore, the lowest common multiple of 402,523,561,813,686 is 3654540333906.
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.
402 x 523 x 561 x 813 x 686 = 65781726010308
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
523 : 1, 523
561 : 1, 3, 11, 17, 33, 51, 187, 561
813 : 1, 3, 271, 813
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,523,561,813,686, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
523:523
561:3x 11x 17
813:3x 271
686:2x 7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 65781726010308/(1x18)
LCM = 65781726010308/18
LCM = 3654540333906
Thus, we can understand that the LCM of 402,523,561,813,686 is 3654540333906.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 523, 561, 813, 686?
Answer: LCM of 402, 523, 561, 813, 686 is 3654540333906.
2. How to calculate the LCM of 402, 523, 561, 813, 686?
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 402, 523, 561, 813, 686.
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}.