Find the LCM of 841, 200, 801, 290, 375 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 841, 200, 801, 290, 375. So, keep reading to learn more.
Given numbers are 841,200,801,290,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,200,801,290,375 is 673641000.
Find LCM of 841,200,801,290,375 with Prime Factorization
2 | 841, 200, 801, 290, 375 |
3 | 841, 100, 801, 145, 375 |
5 | 841, 100, 267, 145, 125 |
5 | 841, 20, 267, 29, 25 |
29 | 841, 4, 267, 29, 5 |
1, 4, 267, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 29 x 1 x 4 x 267 x 29 x 5 = 673641000
Therefore, the lowest common multiple of 841,200,801,290,375 is 673641000.
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.
841 x 200 x 801 x 290 x 375 = 14651691750000
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.
841 : 1, 29, 841
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
801 : 1, 3, 9, 89, 267, 801
290 : 1, 2, 5, 10, 29, 58, 145, 290
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,200,801,290,375, is 1.
Now, the common factors can be found like this.
841:29x 29
200:2x 2x 2x 5x 5
801:3x 3x 89
290:2x 5x 29
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 29 = 21750
Therefore, the value for common factors is 21750.
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 = 14651691750000/(1x21750)
LCM = 14651691750000/21750
LCM = 673641000
Thus, we can understand that the LCM of 841,200,801,290,375 is 673641000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 841, 200, 801, 290, 375?
Answer: LCM of 841, 200, 801, 290, 375 is 673641000.
2. How to calculate the LCM of 841, 200, 801, 290, 375?
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 841, 200, 801, 290, 375.
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}.