Find the LCM of 722, 684, 429, 778, 627 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 722, 684, 429, 778, 627. So, keep reading to learn more.
Given numbers are 722,684,429,778,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,684,429,778,627 is 722928492.
Find LCM of 722,684,429,778,627 with Prime Factorization
2 | 722, 684, 429, 778, 627 |
3 | 361, 342, 429, 389, 627 |
11 | 361, 114, 143, 389, 209 |
19 | 361, 114, 13, 389, 19 |
1, 6, 13, 389, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 1 x 6 x 13 x 389 x 19 = 722928492
Therefore, the lowest common multiple of 722,684,429,778,627 is 722928492.
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.
722 x 684 x 429 x 778 x 627 = 103346965502352
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.
722 : 1, 2, 19, 38, 361, 722
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
429 : 1, 3, 11, 13, 33, 39, 143, 429
778 : 1, 2, 389, 778
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,684,429,778,627, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
684:2x 2x 3x 3x 19
429:3x 11x 13
778:2x 389
627:3x 11x 19
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 3x 11x 19x 19 = 142956
Therefore, the value for common factors is 142956.
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 = 103346965502352/(1x142956)
LCM = 103346965502352/142956
LCM = 722928492
Thus, we can understand that the LCM of 722,684,429,778,627 is 722928492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 684, 429, 778, 627?
Answer: LCM of 722, 684, 429, 778, 627 is 722928492.
2. How to calculate the LCM of 722, 684, 429, 778, 627?
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 722, 684, 429, 778, 627.
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}.