LCM of 807, 448, 874, 818, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 448, 874, 818, 369 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 807, 448, 874, 818, 369. So, keep reading to learn more.
Given numbers are 807,448,874,818,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,448,874,818,369 is 7948064908224.
Find LCM of 807,448,874,818,369 with Prime Factorization
| 2 | 807, 448, 874, 818, 369 |
| 3 | 807, 224, 437, 409, 369 |
| 269, 224, 437, 409, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 224 x 437 x 409 x 123 = 7948064908224
Therefore, the lowest common multiple of 807,448,874,818,369 is 7948064908224.
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.
807 x 448 x 874 x 818 x 369 = 95376778898688
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.
807 : 1, 3, 269, 807
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
874 : 1, 2, 19, 23, 38, 46, 437, 874
818 : 1, 2, 409, 818
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,448,874,818,369, is 1.
Now, the common factors can be found like this.
807:3x 269
448:2x 2x 2x 2x 2x 2x 7
874:2x 19x 23
818:2x 409
369:3x 3x 41
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 3 = 12
Therefore, the value for common factors is 12.
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 = 95376778898688/(1x12)
LCM = 95376778898688/12
LCM = 7948064908224
Thus, we can understand that the LCM of 807,448,874,818,369 is 7948064908224.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 807, 448, 874, 818, 369
1. What is the LCM of 807, 448, 874, 818, 369?
Answer: LCM of 807, 448, 874, 818, 369 is 7948064908224.
2. How to calculate the LCM of 807, 448, 874, 818, 369?
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 807, 448, 874, 818, 369.
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}.