Find the LCM of 787, 266, 980, 560 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 787, 266, 980, 560. So, keep reading to learn more.
Given numbers are 787,266,980,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,266,980,560 is 58615760.
Find LCM of 787,266,980,560 with Prime Factorization
2 | 787, 266, 980, 560 |
2 | 787, 133, 490, 280 |
5 | 787, 133, 245, 140 |
7 | 787, 133, 49, 28 |
787, 19, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 787 x 19 x 7 x 4 = 58615760
Therefore, the lowest common multiple of 787,266,980,560 is 58615760.
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.
787 x 266 x 980 x 560 = 114886889600
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.
787 : 1, 787
266 : 1, 2, 7, 14, 19, 38, 133, 266
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,266,980,560, is 1.
Now, the common factors can be found like this.
787:787
266:2x 7x 19
980:2x 2x 5x 7x 7
560:2x 2x 2x 2x 5x 7
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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 114886889600/(1x1960)
LCM = 114886889600/1960
LCM = 58615760
Thus, we can understand that the LCM of 787,266,980,560 is 58615760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 787, 266, 980, 560?
Answer: LCM of 787, 266, 980, 560 is 58615760.
2. How to calculate the LCM of 787, 266, 980, 560?
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 787, 266, 980, 560.
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}.