Find the LCM of 572, 473, 169, 968, 690 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 572, 473, 169, 968, 690. So, keep reading to learn more.
Given numbers are 572,473,169,968,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,473,169,968,690 is 2426887320.
Find LCM of 572,473,169,968,690 with Prime Factorization
2 | 572, 473, 169, 968, 690 |
2 | 286, 473, 169, 484, 345 |
11 | 143, 473, 169, 242, 345 |
13 | 13, 43, 169, 22, 345 |
1, 43, 13, 22, 345 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 1 x 43 x 13 x 22 x 345 = 2426887320
Therefore, the lowest common multiple of 572,473,169,968,690 is 2426887320.
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.
572 x 473 x 169 x 968 x 690 = 30539950034880
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
473 : 1, 11, 43, 473
169 : 1, 13, 169
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,473,169,968,690, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
473:11x 43
169:13x 13
968:2x 2x 2x 11x 11
690:2x 3x 5x 23
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 11x 11x 13 = 12584
Therefore, the value for common factors is 12584.
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 = 30539950034880/(1x12584)
LCM = 30539950034880/12584
LCM = 2426887320
Thus, we can understand that the LCM of 572,473,169,968,690 is 2426887320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 473, 169, 968, 690?
Answer: LCM of 572, 473, 169, 968, 690 is 2426887320.
2. How to calculate the LCM of 572, 473, 169, 968, 690?
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 572, 473, 169, 968, 690.
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}.