LCM of 825, 286, 152, 808, 619
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 286, 152, 808, 619 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 825, 286, 152, 808, 619. So, keep reading to learn more.
Given numbers are 825,286,152,808,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,286,152,808,619 is 101918473800.
Find LCM of 825,286,152,808,619 with Prime Factorization
| 2 | 825, 286, 152, 808, 619 |
| 2 | 825, 143, 76, 404, 619 |
| 2 | 825, 143, 38, 202, 619 |
| 11 | 825, 143, 19, 101, 619 |
| 75, 13, 19, 101, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 75 x 13 x 19 x 101 x 619 = 101918473800
Therefore, the lowest common multiple of 825,286,152,808,619 is 101918473800.
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.
825 x 286 x 152 x 808 x 619 = 17937651388800
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
286 : 1, 2, 11, 13, 22, 26, 143, 286
152 : 1, 2, 4, 8, 19, 38, 76, 152
808 : 1, 2, 4, 8, 101, 202, 404, 808
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,286,152,808,619, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
286:2x 11x 13
152:2x 2x 2x 19
808:2x 2x 2x 101
619:619
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 2x 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 17937651388800/(1x176)
LCM = 17937651388800/176
LCM = 101918473800
Thus, we can understand that the LCM of 825,286,152,808,619 is 101918473800.
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FAQs on LCM of 825, 286, 152, 808, 619
1. What is the LCM of 825, 286, 152, 808, 619?
Answer: LCM of 825, 286, 152, 808, 619 is 101918473800.
2. How to calculate the LCM of 825, 286, 152, 808, 619?
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 825, 286, 152, 808, 619.
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}.