LCM of 848, 775, 748, 517, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 775, 748, 517, 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 848, 775, 748, 517, 318. So, keep reading to learn more.
Given numbers are 848,775,748,517,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,775,748,517,318 is 17328392400.
Find LCM of 848,775,748,517,318 with Prime Factorization
| 2 | 848, 775, 748, 517, 318 |
| 2 | 424, 775, 374, 517, 159 |
| 11 | 212, 775, 187, 517, 159 |
| 53 | 212, 775, 17, 47, 159 |
| 4, 775, 17, 47, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 53 x 4 x 775 x 17 x 47 x 3 = 17328392400
Therefore, the lowest common multiple of 848,775,748,517,318 is 17328392400.
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.
848 x 775 x 748 x 517 x 318 = 80819622153600
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
775 : 1, 5, 25, 31, 155, 775
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
517 : 1, 11, 47, 517
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,775,748,517,318, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
775:5x 5x 31
748:2x 2x 11x 17
517:11x 47
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 11x 53 = 4664
Therefore, the value for common factors is 4664.
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 = 80819622153600/(1x4664)
LCM = 80819622153600/4664
LCM = 17328392400
Thus, we can understand that the LCM of 848,775,748,517,318 is 17328392400.
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FAQs on LCM of 848, 775, 748, 517, 318
1. What is the LCM of 848, 775, 748, 517, 318?
Answer: LCM of 848, 775, 748, 517, 318 is 17328392400.
2. How to calculate the LCM of 848, 775, 748, 517, 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 848, 775, 748, 517, 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}.