Find the LCM of 236, 425, 153, 867, 452 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 236, 425, 153, 867, 452. So, keep reading to learn more.
Given numbers are 236,425,153,867,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,425,153,867,452 is 1734086700.
Find LCM of 236,425,153,867,452 with Prime Factorization
2 | 236, 425, 153, 867, 452 |
2 | 118, 425, 153, 867, 226 |
3 | 59, 425, 153, 867, 113 |
17 | 59, 425, 51, 289, 113 |
59, 25, 3, 17, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 59 x 25 x 3 x 17 x 113 = 1734086700
Therefore, the lowest common multiple of 236,425,153,867,452 is 1734086700.
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.
236 x 425 x 153 x 867 x 452 = 6013812675600
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.
236 : 1, 2, 4, 59, 118, 236
425 : 1, 5, 17, 25, 85, 425
153 : 1, 3, 9, 17, 51, 153
867 : 1, 3, 17, 51, 289, 867
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,425,153,867,452, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
425:5x 5x 17
153:3x 3x 17
867:3x 17x 17
452:2x 2x 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 2x 3x 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 6013812675600/(1x3468)
LCM = 6013812675600/3468
LCM = 1734086700
Thus, we can understand that the LCM of 236,425,153,867,452 is 1734086700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 425, 153, 867, 452?
Answer: LCM of 236, 425, 153, 867, 452 is 1734086700.
2. How to calculate the LCM of 236, 425, 153, 867, 452?
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 236, 425, 153, 867, 452.
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}.