Find the LCM of 625, 700, 680, 746, 960 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 625, 700, 680, 746, 960. So, keep reading to learn more.
Given numbers are 625,700,680,746,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,700,680,746,960 is 5326440000.
Find LCM of 625,700,680,746,960 with Prime Factorization
2 | 625, 700, 680, 746, 960 |
2 | 625, 350, 340, 373, 480 |
2 | 625, 175, 170, 373, 240 |
5 | 625, 175, 85, 373, 120 |
5 | 125, 35, 17, 373, 24 |
25, 7, 17, 373, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 25 x 7 x 17 x 373 x 24 = 5326440000
Therefore, the lowest common multiple of 625,700,680,746,960 is 5326440000.
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.
625 x 700 x 680 x 746 x 960 = 213057600000000
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.
625 : 1, 5, 25, 125, 625
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
746 : 1, 2, 373, 746
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,700,680,746,960, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
700:2x 2x 5x 5x 7
680:2x 2x 2x 5x 17
746:2x 373
960:2x 2x 2x 2x 2x 2x 3x 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 2x 5x 5x 5x 5 = 40000
Therefore, the value for common factors is 40000.
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 = 213057600000000/(1x40000)
LCM = 213057600000000/40000
LCM = 5326440000
Thus, we can understand that the LCM of 625,700,680,746,960 is 5326440000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 625, 700, 680, 746, 960?
Answer: LCM of 625, 700, 680, 746, 960 is 5326440000.
2. How to calculate the LCM of 625, 700, 680, 746, 960?
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 625, 700, 680, 746, 960.
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}.