LCM of 319, 176, 320, 505, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 176, 320, 505, 781 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 319, 176, 320, 505, 781. So, keep reading to learn more.
Given numbers are 319,176,320,505,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,176,320,505,781 is 732015680.
Find LCM of 319,176,320,505,781 with Prime Factorization
| 2 | 319, 176, 320, 505, 781 |
| 2 | 319, 88, 160, 505, 781 |
| 2 | 319, 44, 80, 505, 781 |
| 2 | 319, 22, 40, 505, 781 |
| 5 | 319, 11, 20, 505, 781 |
| 11 | 319, 11, 4, 101, 781 |
| 29, 1, 4, 101, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 29 x 1 x 4 x 101 x 71 = 732015680
Therefore, the lowest common multiple of 319,176,320,505,781 is 732015680.
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.
319 x 176 x 320 x 505 x 781 = 7085911782400
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.
319 : 1, 11, 29, 319
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
505 : 1, 5, 101, 505
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,176,320,505,781, is 1.
Now, the common factors can be found like this.
319:11x 29
176:2x 2x 2x 2x 11
320:2x 2x 2x 2x 2x 2x 5
505:5x 101
781:11x 71
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 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 7085911782400/(1x9680)
LCM = 7085911782400/9680
LCM = 732015680
Thus, we can understand that the LCM of 319,176,320,505,781 is 732015680.
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FAQs on LCM of 319, 176, 320, 505, 781
1. What is the LCM of 319, 176, 320, 505, 781?
Answer: LCM of 319, 176, 320, 505, 781 is 732015680.
2. How to calculate the LCM of 319, 176, 320, 505, 781?
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 319, 176, 320, 505, 781.
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}.