Find the LCM of 969, 950, 319, 560, 400 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 969, 950, 319, 560, 400. So, keep reading to learn more.
Given numbers are 969,950,319,560,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,950,319,560,400 is 865510800.
Find LCM of 969,950,319,560,400 with Prime Factorization
2 | 969, 950, 319, 560, 400 |
2 | 969, 475, 319, 280, 200 |
2 | 969, 475, 319, 140, 100 |
2 | 969, 475, 319, 70, 50 |
5 | 969, 475, 319, 35, 25 |
5 | 969, 95, 319, 7, 5 |
19 | 969, 19, 319, 7, 1 |
51, 1, 319, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 19 x 51 x 1 x 319 x 7 x 1 = 865510800
Therefore, the lowest common multiple of 969,950,319,560,400 is 865510800.
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.
969 x 950 x 319 x 560 x 400 = 65778820800000
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
319 : 1, 11, 29, 319
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,950,319,560,400, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
950:2x 5x 5x 19
319:11x 29
560:2x 2x 2x 2x 5x 7
400:2x 2x 2x 2x 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 2x 2x 5x 5x 5x 19 = 76000
Therefore, the value for common factors is 76000.
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 = 65778820800000/(1x76000)
LCM = 65778820800000/76000
LCM = 865510800
Thus, we can understand that the LCM of 969,950,319,560,400 is 865510800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 950, 319, 560, 400?
Answer: LCM of 969, 950, 319, 560, 400 is 865510800.
2. How to calculate the LCM of 969, 950, 319, 560, 400?
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 969, 950, 319, 560, 400.
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}.