Find the LCM of 874, 503, 838, 368, 153 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 874, 503, 838, 368, 153. So, keep reading to learn more.
Given numbers are 874,503,838,368,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,503,838,368,153 is 225462780432.
Find LCM of 874,503,838,368,153 with Prime Factorization
2 | 874, 503, 838, 368, 153 |
23 | 437, 503, 419, 184, 153 |
19, 503, 419, 8, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 19 x 503 x 419 x 8 x 153 = 225462780432
Therefore, the lowest common multiple of 874,503,838,368,153 is 225462780432.
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.
874 x 503 x 838 x 368 x 153 = 20742575799744
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
503 : 1, 503
838 : 1, 2, 419, 838
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,503,838,368,153, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
503:503
838:2x 419
368:2x 2x 2x 2x 23
153:3x 3x 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 23 = 92
Therefore, the value for common factors is 92.
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 = 20742575799744/(1x92)
LCM = 20742575799744/92
LCM = 225462780432
Thus, we can understand that the LCM of 874,503,838,368,153 is 225462780432.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 503, 838, 368, 153?
Answer: LCM of 874, 503, 838, 368, 153 is 225462780432.
2. How to calculate the LCM of 874, 503, 838, 368, 153?
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 874, 503, 838, 368, 153.
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}.