Find the LCM of 880, 667, 652, 758, 276 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 880, 667, 652, 758, 276. So, keep reading to learn more.
Given numbers are 880,667,652,758,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,667,652,758,276 is 108781883760.
Find LCM of 880,667,652,758,276 with Prime Factorization
2 | 880, 667, 652, 758, 276 |
2 | 440, 667, 326, 379, 138 |
23 | 220, 667, 163, 379, 69 |
220, 29, 163, 379, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 220 x 29 x 163 x 379 x 3 = 108781883760
Therefore, the lowest common multiple of 880,667,652,758,276 is 108781883760.
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.
880 x 667 x 652 x 758 x 276 = 80063466447360
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
667 : 1, 23, 29, 667
652 : 1, 2, 4, 163, 326, 652
758 : 1, 2, 379, 758
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,667,652,758,276, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
667:23x 29
652:2x 2x 163
758:2x 379
276:2x 2x 3x 23
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 23 = 736
Therefore, the value for common factors is 736.
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 = 80063466447360/(1x736)
LCM = 80063466447360/736
LCM = 108781883760
Thus, we can understand that the LCM of 880,667,652,758,276 is 108781883760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 667, 652, 758, 276?
Answer: LCM of 880, 667, 652, 758, 276 is 108781883760.
2. How to calculate the LCM of 880, 667, 652, 758, 276?
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 880, 667, 652, 758, 276.
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}.