LCM of 185, 678, 480, 915, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 185, 678, 480, 915, 565 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 185, 678, 480, 915, 565. So, keep reading to learn more.
Given numbers are 185,678,480,915,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,678,480,915,565 is 122419680.
Find LCM of 185,678,480,915,565 with Prime Factorization
| 2 | 185, 678, 480, 915, 565 |
| 3 | 185, 339, 240, 915, 565 |
| 5 | 185, 113, 80, 305, 565 |
| 113 | 37, 113, 16, 61, 113 |
| 37, 1, 16, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 37 x 1 x 16 x 61 x 1 = 122419680
Therefore, the lowest common multiple of 185,678,480,915,565 is 122419680.
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.
185 x 678 x 480 x 915 x 565 = 31125203640000
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.
185 : 1, 5, 37, 185
678 : 1, 2, 3, 6, 113, 226, 339, 678
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
915 : 1, 3, 5, 15, 61, 183, 305, 915
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,678,480,915,565, is 1.
Now, the common factors can be found like this.
185:5x 37
678:2x 3x 113
480:2x 2x 2x 2x 2x 3x 5
915:3x 5x 61
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 5x 113 = 254250
Therefore, the value for common factors is 254250.
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 = 31125203640000/(1x254250)
LCM = 31125203640000/254250
LCM = 122419680
Thus, we can understand that the LCM of 185,678,480,915,565 is 122419680.
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FAQs on LCM of 185, 678, 480, 915, 565
1. What is the LCM of 185, 678, 480, 915, 565?
Answer: LCM of 185, 678, 480, 915, 565 is 122419680.
2. How to calculate the LCM of 185, 678, 480, 915, 565?
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 185, 678, 480, 915, 565.
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}.