Find the LCM of 850, 980, 652, 480, 865 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 850, 980, 652, 480, 865. So, keep reading to learn more.
Given numbers are 850,980,652,480,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,980,652,480,865 is 56375440800.
Find LCM of 850,980,652,480,865 with Prime Factorization
2 | 850, 980, 652, 480, 865 |
2 | 425, 490, 326, 240, 865 |
5 | 425, 245, 163, 120, 865 |
85, 49, 163, 24, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 85 x 49 x 163 x 24 x 173 = 56375440800
Therefore, the lowest common multiple of 850,980,652,480,865 is 56375440800.
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.
850 x 980 x 652 x 480 x 865 = 225501763200000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
652 : 1, 2, 4, 163, 326, 652
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,980,652,480,865, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
980:2x 2x 5x 7x 7
652:2x 2x 163
480:2x 2x 2x 2x 2x 3x 5
865:5x 173
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 5 = 4000
Therefore, the value for common factors is 4000.
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 = 225501763200000/(1x4000)
LCM = 225501763200000/4000
LCM = 56375440800
Thus, we can understand that the LCM of 850,980,652,480,865 is 56375440800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 850, 980, 652, 480, 865?
Answer: LCM of 850, 980, 652, 480, 865 is 56375440800.
2. How to calculate the LCM of 850, 980, 652, 480, 865?
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 850, 980, 652, 480, 865.
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}.