Find the LCM of 965, 680, 510, 504, 283 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 965, 680, 510, 504, 283. So, keep reading to learn more.
Given numbers are 965,680,510,504,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,680,510,504,283 is 2339877960.
Find LCM of 965,680,510,504,283 with Prime Factorization
2 | 965, 680, 510, 504, 283 |
2 | 965, 340, 255, 252, 283 |
2 | 965, 170, 255, 126, 283 |
3 | 965, 85, 255, 63, 283 |
5 | 965, 85, 85, 21, 283 |
17 | 193, 17, 17, 21, 283 |
193, 1, 1, 21, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 193 x 1 x 1 x 21 x 283 = 2339877960
Therefore, the lowest common multiple of 965,680,510,504,283 is 2339877960.
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.
965 x 680 x 510 x 504 x 283 = 47733510384000
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.
965 : 1, 5, 193, 965
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,680,510,504,283, is 1.
Now, the common factors can be found like this.
965:5x 193
680:2x 2x 2x 5x 17
510:2x 3x 5x 17
504:2x 2x 2x 3x 3x 7
283:283
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 3x 5x 5x 17 = 20400
Therefore, the value for common factors is 20400.
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 = 47733510384000/(1x20400)
LCM = 47733510384000/20400
LCM = 2339877960
Thus, we can understand that the LCM of 965,680,510,504,283 is 2339877960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 680, 510, 504, 283?
Answer: LCM of 965, 680, 510, 504, 283 is 2339877960.
2. How to calculate the LCM of 965, 680, 510, 504, 283?
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 965, 680, 510, 504, 283.
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}.