Find the LCM of 680, 648, 397, 753, 901 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 680, 648, 397, 753, 901. So, keep reading to learn more.
Given numbers are 680,648,397,753,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,648,397,753,901 is 290893508280.
Find LCM of 680,648,397,753,901 with Prime Factorization
2 | 680, 648, 397, 753, 901 |
2 | 340, 324, 397, 753, 901 |
2 | 170, 162, 397, 753, 901 |
3 | 85, 81, 397, 753, 901 |
17 | 85, 27, 397, 251, 901 |
5, 27, 397, 251, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 5 x 27 x 397 x 251 x 53 = 290893508280
Therefore, the lowest common multiple of 680,648,397,753,901 is 290893508280.
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.
680 x 648 x 397 x 753 x 901 = 118684551378240
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
397 : 1, 397
753 : 1, 3, 251, 753
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,648,397,753,901, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
648:2x 2x 2x 3x 3x 3x 3
397:397
753:3x 251
901:17x 53
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 17 = 408
Therefore, the value for common factors is 408.
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 = 118684551378240/(1x408)
LCM = 118684551378240/408
LCM = 290893508280
Thus, we can understand that the LCM of 680,648,397,753,901 is 290893508280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 680, 648, 397, 753, 901?
Answer: LCM of 680, 648, 397, 753, 901 is 290893508280.
2. How to calculate the LCM of 680, 648, 397, 753, 901?
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 680, 648, 397, 753, 901.
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}.