Find the LCM of 87, 319, 473 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 87, 319, 473. So, keep reading to learn more.
Given numbers are 87,319,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 87,319,473 is 41151.
Find LCM of 87,319,473 with Prime Factorization
11 | 87, 319, 473 |
29 | 87, 29, 43 |
3, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 3 x 1 x 43 = 41151
Therefore, the lowest common multiple of 87,319,473 is 41151.
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.
87 x 319 x 473 = 13127169
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.
87 : 1, 3, 29, 87
319 : 1, 11, 29, 319
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 87,319,473, is 1.
Now, the common factors can be found like this.
87:3x 29
319:11x 29
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 13127169/(1x319)
LCM = 13127169/319
LCM = 41151
Thus, we can understand that the LCM of 87,319,473 is 41151.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 87, 319, 473?
Answer: LCM of 87, 319, 473 is 41151.
2. How to calculate the LCM of 87, 319, 473?
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 87, 319, 473.
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}.