Find the LCM of 845, 572, 440, 862, 652 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 845, 572, 440, 862, 652. So, keep reading to learn more.
Given numbers are 845,572,440,862,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,572,440,862,652 is 5224013080.
Find LCM of 845,572,440,862,652 with Prime Factorization
2 | 845, 572, 440, 862, 652 |
2 | 845, 286, 220, 431, 326 |
5 | 845, 143, 110, 431, 163 |
11 | 169, 143, 22, 431, 163 |
13 | 169, 13, 2, 431, 163 |
1, 13, 2, 431, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 1 x 13 x 2 x 431 x 163 = 5224013080
Therefore, the lowest common multiple of 845,572,440,862,652 is 5224013080.
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.
845 x 572 x 440 x 862 x 652 = 119525419270400
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.
845 : 1, 5, 13, 65, 169, 845
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
862 : 1, 2, 431, 862
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,572,440,862,652, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
572:2x 2x 11x 13
440:2x 2x 2x 5x 11
862:2x 431
652:2x 2x 163
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 2x 2x 5x 11x 13 = 22880
Therefore, the value for common factors is 22880.
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 = 119525419270400/(1x22880)
LCM = 119525419270400/22880
LCM = 5224013080
Thus, we can understand that the LCM of 845,572,440,862,652 is 5224013080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 572, 440, 862, 652?
Answer: LCM of 845, 572, 440, 862, 652 is 5224013080.
2. How to calculate the LCM of 845, 572, 440, 862, 652?
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 845, 572, 440, 862, 652.
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}.