Find the LCM of 892, 542, 759, 748, 442 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 892, 542, 759, 748, 442. So, keep reading to learn more.
Given numbers are 892,542,759,748,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,542,759,748,442 is 40547883948.
Find LCM of 892,542,759,748,442 with Prime Factorization
2 | 892, 542, 759, 748, 442 |
2 | 446, 271, 759, 374, 221 |
11 | 223, 271, 759, 187, 221 |
17 | 223, 271, 69, 17, 221 |
223, 271, 69, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 223 x 271 x 69 x 1 x 13 = 40547883948
Therefore, the lowest common multiple of 892,542,759,748,442 is 40547883948.
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.
892 x 542 x 759 x 748 x 442 = 121319268772416
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.
892 : 1, 2, 4, 223, 446, 892
542 : 1, 2, 271, 542
759 : 1, 3, 11, 23, 33, 69, 253, 759
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,542,759,748,442, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
542:2x 271
759:3x 11x 23
748:2x 2x 11x 17
442:2x 13x 17
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 121319268772416/(1x2992)
LCM = 121319268772416/2992
LCM = 40547883948
Thus, we can understand that the LCM of 892,542,759,748,442 is 40547883948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 542, 759, 748, 442?
Answer: LCM of 892, 542, 759, 748, 442 is 40547883948.
2. How to calculate the LCM of 892, 542, 759, 748, 442?
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 892, 542, 759, 748, 442.
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}.