Find the LCM of 534, 690, 635, 943, 113 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 534, 690, 635, 943, 113. So, keep reading to learn more.
Given numbers are 534,690,635,943,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,690,635,943,113 is 36133091310.
Find LCM of 534,690,635,943,113 with Prime Factorization
2 | 534, 690, 635, 943, 113 |
3 | 267, 345, 635, 943, 113 |
5 | 89, 115, 635, 943, 113 |
23 | 89, 23, 127, 943, 113 |
89, 1, 127, 41, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 89 x 1 x 127 x 41 x 113 = 36133091310
Therefore, the lowest common multiple of 534,690,635,943,113 is 36133091310.
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.
534 x 690 x 635 x 943 x 113 = 24931833003900
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
635 : 1, 5, 127, 635
943 : 1, 23, 41, 943
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,690,635,943,113, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
690:2x 3x 5x 23
635:5x 127
943:23x 41
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 24931833003900/(1x690)
LCM = 24931833003900/690
LCM = 36133091310
Thus, we can understand that the LCM of 534,690,635,943,113 is 36133091310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 534, 690, 635, 943, 113?
Answer: LCM of 534, 690, 635, 943, 113 is 36133091310.
2. How to calculate the LCM of 534, 690, 635, 943, 113?
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 534, 690, 635, 943, 113.
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}.