LCM of 880, 598, 156, 780, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 598, 156, 780, 775 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, 598, 156, 780, 775. So, keep reading to learn more.
Given numbers are 880,598,156,780,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,598,156,780,775 is 122350800.
Find LCM of 880,598,156,780,775 with Prime Factorization
| 2 | 880, 598, 156, 780, 775 |
| 2 | 440, 299, 78, 390, 775 |
| 3 | 220, 299, 39, 195, 775 |
| 5 | 220, 299, 13, 65, 775 |
| 13 | 44, 299, 13, 13, 155 |
| 44, 23, 1, 1, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 44 x 23 x 1 x 1 x 155 = 122350800
Therefore, the lowest common multiple of 880,598,156,780,775 is 122350800.
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 598 x 156 x 780 x 775 = 49625484480000
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,598,156,780,775, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
598:2x 13x 23
156:2x 2x 3x 13
780:2x 2x 3x 5x 13
775:5x 5x 31
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 3x 5x 5x 13x 13 = 405600
Therefore, the value for common factors is 405600.
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 = 49625484480000/(1x405600)
LCM = 49625484480000/405600
LCM = 122350800
Thus, we can understand that the LCM of 880,598,156,780,775 is 122350800.
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FAQs on LCM of 880, 598, 156, 780, 775
1. What is the LCM of 880, 598, 156, 780, 775?
Answer: LCM of 880, 598, 156, 780, 775 is 122350800.
2. How to calculate the LCM of 880, 598, 156, 780, 775?
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, 598, 156, 780, 775.
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}.