Find the LCM of 918, 400, 769, 675, 900 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 918, 400, 769, 675, 900. So, keep reading to learn more.
Given numbers are 918,400,769,675,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,400,769,675,900 is 141188400.
Find LCM of 918,400,769,675,900 with Prime Factorization
2 | 918, 400, 769, 675, 900 |
2 | 459, 200, 769, 675, 450 |
3 | 459, 100, 769, 675, 225 |
3 | 153, 100, 769, 75, 225 |
3 | 51, 100, 769, 25, 75 |
5 | 17, 100, 769, 25, 25 |
5 | 17, 20, 769, 5, 5 |
17, 4, 769, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 5 x 17 x 4 x 769 x 1 x 1 = 141188400
Therefore, the lowest common multiple of 918,400,769,675,900 is 141188400.
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.
918 x 400 x 769 x 675 x 900 = 171543906000000
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
769 : 1, 769
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,400,769,675,900, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
400:2x 2x 2x 2x 5x 5
769:769
675:3x 3x 3x 5x 5
900:2x 2x 3x 3x 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 2x 2x 3x 3x 3x 3x 3x 5x 5x 5x 5 = 1215000
Therefore, the value for common factors is 1215000.
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 = 171543906000000/(1x1215000)
LCM = 171543906000000/1215000
LCM = 141188400
Thus, we can understand that the LCM of 918,400,769,675,900 is 141188400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 918, 400, 769, 675, 900?
Answer: LCM of 918, 400, 769, 675, 900 is 141188400.
2. How to calculate the LCM of 918, 400, 769, 675, 900?
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 918, 400, 769, 675, 900.
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}.