LCM of 825, 320, 344, 602, 292
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 320, 344, 602, 292 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 825, 320, 344, 602, 292. So, keep reading to learn more.
Given numbers are 825,320,344,602,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,320,344,602,292 is 1160174400.
Find LCM of 825,320,344,602,292 with Prime Factorization
| 2 | 825, 320, 344, 602, 292 |
| 2 | 825, 160, 172, 301, 146 |
| 2 | 825, 80, 86, 301, 73 |
| 5 | 825, 40, 43, 301, 73 |
| 43 | 165, 8, 43, 301, 73 |
| 165, 8, 1, 7, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 43 x 165 x 8 x 1 x 7 x 73 = 1160174400
Therefore, the lowest common multiple of 825,320,344,602,292 is 1160174400.
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.
825 x 320 x 344 x 602 x 292 = 15963999744000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
344 : 1, 2, 4, 8, 43, 86, 172, 344
602 : 1, 2, 7, 14, 43, 86, 301, 602
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,320,344,602,292, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
320:2x 2x 2x 2x 2x 2x 5
344:2x 2x 2x 43
602:2x 7x 43
292:2x 2x 73
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 5x 43 = 13760
Therefore, the value for common factors is 13760.
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 = 15963999744000/(1x13760)
LCM = 15963999744000/13760
LCM = 1160174400
Thus, we can understand that the LCM of 825,320,344,602,292 is 1160174400.
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FAQs on LCM of 825, 320, 344, 602, 292
1. What is the LCM of 825, 320, 344, 602, 292?
Answer: LCM of 825, 320, 344, 602, 292 is 1160174400.
2. How to calculate the LCM of 825, 320, 344, 602, 292?
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 825, 320, 344, 602, 292.
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}.