Find the LCM of 875, 209, 380, 145, 824 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 875, 209, 380, 145, 824. So, keep reading to learn more.
Given numbers are 875,209,380,145,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,209,380,145,824 is 4369981000.
Find LCM of 875,209,380,145,824 with Prime Factorization
2 | 875, 209, 380, 145, 824 |
2 | 875, 209, 190, 145, 412 |
5 | 875, 209, 95, 145, 206 |
19 | 175, 209, 19, 29, 206 |
175, 11, 1, 29, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 175 x 11 x 1 x 29 x 206 = 4369981000
Therefore, the lowest common multiple of 875,209,380,145,824 is 4369981000.
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.
875 x 209 x 380 x 145 x 824 = 8302963900000
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
209 : 1, 11, 19, 209
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
145 : 1, 5, 29, 145
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,209,380,145,824, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
209:11x 19
380:2x 2x 5x 19
145:5x 29
824:2x 2x 2x 103
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 5x 5x 19 = 1900
Therefore, the value for common factors is 1900.
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 = 8302963900000/(1x1900)
LCM = 8302963900000/1900
LCM = 4369981000
Thus, we can understand that the LCM of 875,209,380,145,824 is 4369981000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 875, 209, 380, 145, 824?
Answer: LCM of 875, 209, 380, 145, 824 is 4369981000.
2. How to calculate the LCM of 875, 209, 380, 145, 824?
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 875, 209, 380, 145, 824.
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}.