Find the LCM of 900, 135, 982, 355, 479 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 900, 135, 982, 355, 479. So, keep reading to learn more.
Given numbers are 900,135,982,355,479
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,135,982,355,479 is 45085731300.
Find LCM of 900,135,982,355,479 with Prime Factorization
2 | 900, 135, 982, 355, 479 |
3 | 450, 135, 491, 355, 479 |
3 | 150, 45, 491, 355, 479 |
5 | 50, 15, 491, 355, 479 |
10, 3, 491, 71, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 10 x 3 x 491 x 71 x 479 = 45085731300
Therefore, the lowest common multiple of 900,135,982,355,479 is 45085731300.
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.
900 x 135 x 982 x 355 x 479 = 20288579085000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
135 : 1, 3, 5, 9, 15, 27, 45, 135
982 : 1, 2, 491, 982
355 : 1, 5, 71, 355
479 : 1, 479
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,135,982,355,479, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
135:3x 3x 3x 5
982:2x 491
355:5x 71
479:479
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 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 20288579085000/(1x450)
LCM = 20288579085000/450
LCM = 45085731300
Thus, we can understand that the LCM of 900,135,982,355,479 is 45085731300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 135, 982, 355, 479?
Answer: LCM of 900, 135, 982, 355, 479 is 45085731300.
2. How to calculate the LCM of 900, 135, 982, 355, 479?
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 900, 135, 982, 355, 479.
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}.