Find the LCM of 133, 881, 509, 884, 840 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 133, 881, 509, 884, 840. So, keep reading to learn more.
Given numbers are 133,881,509,884,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,881,509,884,840 is 1581680831640.
Find LCM of 133,881,509,884,840 with Prime Factorization
2 | 133, 881, 509, 884, 840 |
2 | 133, 881, 509, 442, 420 |
7 | 133, 881, 509, 221, 210 |
19, 881, 509, 221, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 881 x 509 x 221 x 30 = 1581680831640
Therefore, the lowest common multiple of 133,881,509,884,840 is 1581680831640.
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.
133 x 881 x 509 x 884 x 840 = 44287063285920
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.
133 : 1, 7, 19, 133
881 : 1, 881
509 : 1, 509
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,881,509,884,840, is 1.
Now, the common factors can be found like this.
133:7x 19
881:881
509:509
884:2x 2x 13x 17
840:2x 2x 2x 3x 5x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 44287063285920/(1x28)
LCM = 44287063285920/28
LCM = 1581680831640
Thus, we can understand that the LCM of 133,881,509,884,840 is 1581680831640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 881, 509, 884, 840?
Answer: LCM of 133, 881, 509, 884, 840 is 1581680831640.
2. How to calculate the LCM of 133, 881, 509, 884, 840?
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 133, 881, 509, 884, 840.
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}.