Find the LCM of 810, 428, 765, 346, 702 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 810, 428, 765, 346, 702. So, keep reading to learn more.
Given numbers are 810,428,765,346,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,428,765,346,702 is 6627308220.
Find LCM of 810,428,765,346,702 with Prime Factorization
2 | 810, 428, 765, 346, 702 |
3 | 405, 214, 765, 173, 351 |
3 | 135, 214, 255, 173, 117 |
3 | 45, 214, 85, 173, 39 |
5 | 15, 214, 85, 173, 13 |
3, 214, 17, 173, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 3 x 214 x 17 x 173 x 13 = 6627308220
Therefore, the lowest common multiple of 810,428,765,346,702 is 6627308220.
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.
810 x 428 x 765 x 346 x 702 = 64417435898400
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
428 : 1, 2, 4, 107, 214, 428
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
346 : 1, 2, 173, 346
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,428,765,346,702, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
428:2x 2x 107
765:3x 3x 5x 17
346:2x 173
702:2x 3x 3x 3x 13
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 3x 3x 3x 3x 5 = 9720
Therefore, the value for common factors is 9720.
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 = 64417435898400/(1x9720)
LCM = 64417435898400/9720
LCM = 6627308220
Thus, we can understand that the LCM of 810,428,765,346,702 is 6627308220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 428, 765, 346, 702?
Answer: LCM of 810, 428, 765, 346, 702 is 6627308220.
2. How to calculate the LCM of 810, 428, 765, 346, 702?
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 810, 428, 765, 346, 702.
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}.