LCM of 514, 836, 880, 988, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 836, 880, 988, 852 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 514, 836, 880, 988, 852. So, keep reading to learn more.
Given numbers are 514,836,880,988,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,836,880,988,852 is 11898503760.
Find LCM of 514,836,880,988,852 with Prime Factorization
| 2 | 514, 836, 880, 988, 852 |
| 2 | 257, 418, 440, 494, 426 |
| 11 | 257, 209, 220, 247, 213 |
| 19 | 257, 19, 20, 247, 213 |
| 257, 1, 20, 13, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 257 x 1 x 20 x 13 x 213 = 11898503760
Therefore, the lowest common multiple of 514,836,880,988,852 is 11898503760.
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.
514 x 836 x 880 x 988 x 852 = 318308772587520
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.
514 : 1, 2, 257, 514
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,836,880,988,852, is 2.
Now, the common factors can be found like this.
514:2x 257
836:2x 2x 11x 19
880:2x 2x 2x 2x 5x 11
988:2x 2x 13x 19
852:2x 2x 3x 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 2x 2x 11x 19 = 13376
Therefore, the value for common factors is 13376.
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 = 318308772587520/(2x13376)
LCM = 318308772587520/26752
LCM = 11898503760
Thus, we can understand that the LCM of 514,836,880,988,852 is 11898503760.
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FAQs on LCM of 514, 836, 880, 988, 852
1. What is the LCM of 514, 836, 880, 988, 852?
Answer: LCM of 514, 836, 880, 988, 852 is 11898503760.
2. How to calculate the LCM of 514, 836, 880, 988, 852?
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 514, 836, 880, 988, 852.
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}.