Find the LCM of 770, 276, 520, 415, 778 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 770, 276, 520, 415, 778. So, keep reading to learn more.
Given numbers are 770,276,520,415,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,276,520,415,778 is 89201232120.
Find LCM of 770,276,520,415,778 with Prime Factorization
2 | 770, 276, 520, 415, 778 |
2 | 385, 138, 260, 415, 389 |
5 | 385, 69, 130, 415, 389 |
77, 69, 26, 83, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 77 x 69 x 26 x 83 x 389 = 89201232120
Therefore, the lowest common multiple of 770,276,520,415,778 is 89201232120.
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.
770 x 276 x 520 x 415 x 778 = 35680492848000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
415 : 1, 5, 83, 415
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,276,520,415,778, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
276:2x 2x 3x 23
520:2x 2x 2x 5x 13
415:5x 83
778:2x 389
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 35680492848000/(1x400)
LCM = 35680492848000/400
LCM = 89201232120
Thus, we can understand that the LCM of 770,276,520,415,778 is 89201232120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 276, 520, 415, 778?
Answer: LCM of 770, 276, 520, 415, 778 is 89201232120.
2. How to calculate the LCM of 770, 276, 520, 415, 778?
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 770, 276, 520, 415, 778.
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}.