LCM of 319, 843, 722, 996, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 843, 722, 996, 456 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, 843, 722, 996, 456. So, keep reading to learn more.
Given numbers are 319,843,722,996,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,843,722,996,456 is 64460480568.
Find LCM of 319,843,722,996,456 with Prime Factorization
| 2 | 319, 843, 722, 996, 456 |
| 2 | 319, 843, 361, 498, 228 |
| 3 | 319, 843, 361, 249, 114 |
| 19 | 319, 281, 361, 83, 38 |
| 319, 281, 19, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 319 x 281 x 19 x 83 x 2 = 64460480568
Therefore, the lowest common multiple of 319,843,722,996,456 is 64460480568.
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 843 x 722 x 996 x 456 = 88181937417024
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
843 : 1, 3, 281, 843
722 : 1, 2, 19, 38, 361, 722
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,843,722,996,456, is 1.
Now, the common factors can be found like this.
319:11x 29
843:3x 281
722:2x 19x 19
996:2x 2x 3x 83
456:2x 2x 2x 3x 19
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 88181937417024/(1x1368)
LCM = 88181937417024/1368
LCM = 64460480568
Thus, we can understand that the LCM of 319,843,722,996,456 is 64460480568.
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FAQs on LCM of 319, 843, 722, 996, 456
1. What is the LCM of 319, 843, 722, 996, 456?
Answer: LCM of 319, 843, 722, 996, 456 is 64460480568.
2. How to calculate the LCM of 319, 843, 722, 996, 456?
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, 843, 722, 996, 456.
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}.