Find the LCM of 100, 527, 881, 865, 585 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 100, 527, 881, 865, 585. So, keep reading to learn more.
Given numbers are 100,527,881,865,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,527,881,865,585 is 939763316700.
Find LCM of 100,527,881,865,585 with Prime Factorization
5 | 100, 527, 881, 865, 585 |
20, 527, 881, 173, 117 |
Multiply the prime numbers at the bottom and the left side.
5 x 20 x 527 x 881 x 173 x 117 = 939763316700
Therefore, the lowest common multiple of 100,527,881,865,585 is 939763316700.
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.
100 x 527 x 881 x 865 x 585 = 23494082917500
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
527 : 1, 17, 31, 527
881 : 1, 881
865 : 1, 5, 173, 865
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,527,881,865,585, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
527:17x 31
881:881
865:5x 173
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 23494082917500/(1x25)
LCM = 23494082917500/25
LCM = 939763316700
Thus, we can understand that the LCM of 100,527,881,865,585 is 939763316700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 100, 527, 881, 865, 585?
Answer: LCM of 100, 527, 881, 865, 585 is 939763316700.
2. How to calculate the LCM of 100, 527, 881, 865, 585?
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 100, 527, 881, 865, 585.
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}.