LCM of 319, 824, 836, 519, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 824, 836, 519, 932 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, 824, 836, 519, 932. So, keep reading to learn more.
Given numbers are 319,824,836,519,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,824,836,519,932 is 603941362728.
Find LCM of 319,824,836,519,932 with Prime Factorization
| 2 | 319, 824, 836, 519, 932 |
| 2 | 319, 412, 418, 519, 466 |
| 11 | 319, 206, 209, 519, 233 |
| 29, 206, 19, 519, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 206 x 19 x 519 x 233 = 603941362728
Therefore, the lowest common multiple of 319,824,836,519,932 is 603941362728.
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 824 x 836 x 519 x 932 = 106293679840128
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
519 : 1, 3, 173, 519
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,824,836,519,932, is 1.
Now, the common factors can be found like this.
319:11x 29
824:2x 2x 2x 103
836:2x 2x 11x 19
519:3x 173
932:2x 2x 233
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 11 = 176
Therefore, the value for common factors is 176.
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 = 106293679840128/(1x176)
LCM = 106293679840128/176
LCM = 603941362728
Thus, we can understand that the LCM of 319,824,836,519,932 is 603941362728.
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FAQs on LCM of 319, 824, 836, 519, 932
1. What is the LCM of 319, 824, 836, 519, 932?
Answer: LCM of 319, 824, 836, 519, 932 is 603941362728.
2. How to calculate the LCM of 319, 824, 836, 519, 932?
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, 824, 836, 519, 932.
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}.