Find the LCM of 423, 492, 866, 820, 635 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 423, 492, 866, 820, 635. So, keep reading to learn more.
Given numbers are 423,492,866,820,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,492,866,820,635 is 19074178260.
Find LCM of 423,492,866,820,635 with Prime Factorization
2 | 423, 492, 866, 820, 635 |
2 | 423, 246, 433, 410, 635 |
3 | 423, 123, 433, 205, 635 |
5 | 141, 41, 433, 205, 635 |
41 | 141, 41, 433, 41, 127 |
141, 1, 433, 1, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 141 x 1 x 433 x 1 x 127 = 19074178260
Therefore, the lowest common multiple of 423,492,866,820,635 is 19074178260.
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.
423 x 492 x 866 x 820 x 635 = 93844957039200
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.
423 : 1, 3, 9, 47, 141, 423
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
866 : 1, 2, 433, 866
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,492,866,820,635, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
492:2x 2x 3x 41
866:2x 433
820:2x 2x 5x 41
635:5x 127
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 3x 5x 41 = 4920
Therefore, the value for common factors is 4920.
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 = 93844957039200/(1x4920)
LCM = 93844957039200/4920
LCM = 19074178260
Thus, we can understand that the LCM of 423,492,866,820,635 is 19074178260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 423, 492, 866, 820, 635?
Answer: LCM of 423, 492, 866, 820, 635 is 19074178260.
2. How to calculate the LCM of 423, 492, 866, 820, 635?
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 423, 492, 866, 820, 635.
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}.