LCM of 854, 616, 722, 380, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 616, 722, 380, 318 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 854, 616, 722, 380, 318. So, keep reading to learn more.
Given numbers are 854,616,722,380,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,616,722,380,318 is 10784124120.
Find LCM of 854,616,722,380,318 with Prime Factorization
| 2 | 854, 616, 722, 380, 318 |
| 2 | 427, 308, 361, 190, 159 |
| 7 | 427, 154, 361, 95, 159 |
| 19 | 61, 22, 361, 95, 159 |
| 61, 22, 19, 5, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 61 x 22 x 19 x 5 x 159 = 10784124120
Therefore, the lowest common multiple of 854,616,722,380,318 is 10784124120.
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.
854 x 616 x 722 x 380 x 318 = 45897232254720
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
722 : 1, 2, 19, 38, 361, 722
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
318 : 1, 2, 3, 6, 53, 106, 159, 318
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,616,722,380,318, is 2.
Now, the common factors can be found like this.
854:2x 7x 61
616:2x 2x 2x 7x 11
722:2x 19x 19
380:2x 2x 5x 19
318:2x 3x 53
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 7x 19 = 2128
Therefore, the value for common factors is 2128.
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 = 45897232254720/(2x2128)
LCM = 45897232254720/4256
LCM = 10784124120
Thus, we can understand that the LCM of 854,616,722,380,318 is 10784124120.
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FAQs on LCM of 854, 616, 722, 380, 318
1. What is the LCM of 854, 616, 722, 380, 318?
Answer: LCM of 854, 616, 722, 380, 318 is 10784124120.
2. How to calculate the LCM of 854, 616, 722, 380, 318?
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 854, 616, 722, 380, 318.
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}.