LCM of 319, 917, 192, 742, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 917, 192, 742, 448 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, 917, 192, 742, 448. So, keep reading to learn more.
Given numbers are 319,917,192,742,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,917,192,742,448 is 2976714048.
Find LCM of 319,917,192,742,448 with Prime Factorization
| 2 | 319, 917, 192, 742, 448 |
| 2 | 319, 917, 96, 371, 224 |
| 2 | 319, 917, 48, 371, 112 |
| 2 | 319, 917, 24, 371, 56 |
| 2 | 319, 917, 12, 371, 28 |
| 2 | 319, 917, 6, 371, 14 |
| 7 | 319, 917, 3, 371, 7 |
| 319, 131, 3, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 7 x 319 x 131 x 3 x 53 x 1 = 2976714048
Therefore, the lowest common multiple of 319,917,192,742,448 is 2976714048.
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 917 x 192 x 742 x 448 = 18669950509056
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
917 : 1, 7, 131, 917
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
742 : 1, 2, 7, 14, 53, 106, 371, 742
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,917,192,742,448, is 1.
Now, the common factors can be found like this.
319:11x 29
917:7x 131
192:2x 2x 2x 2x 2x 2x 3
742:2x 7x 53
448:2x 2x 2x 2x 2x 2x 7
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 2x 7x 7 = 6272
Therefore, the value for common factors is 6272.
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 = 18669950509056/(1x6272)
LCM = 18669950509056/6272
LCM = 2976714048
Thus, we can understand that the LCM of 319,917,192,742,448 is 2976714048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 917, 192, 742, 448
1. What is the LCM of 319, 917, 192, 742, 448?
Answer: LCM of 319, 917, 192, 742, 448 is 2976714048.
2. How to calculate the LCM of 319, 917, 192, 742, 448?
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, 917, 192, 742, 448.
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}.