LCM of 892, 221, 478, 328, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 221, 478, 328, 984 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 892, 221, 478, 328, 984. So, keep reading to learn more.
Given numbers are 892,221,478,328,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,221,478,328,984 is 11590178808.
Find LCM of 892,221,478,328,984 with Prime Factorization
| 2 | 892, 221, 478, 328, 984 |
| 2 | 446, 221, 239, 164, 492 |
| 2 | 223, 221, 239, 82, 246 |
| 41 | 223, 221, 239, 41, 123 |
| 223, 221, 239, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 223 x 221 x 239 x 1 x 3 = 11590178808
Therefore, the lowest common multiple of 892,221,478,328,984 is 11590178808.
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.
892 x 221 x 478 x 328 x 984 = 30412629192192
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.
892 : 1, 2, 4, 223, 446, 892
221 : 1, 13, 17, 221
478 : 1, 2, 239, 478
328 : 1, 2, 4, 8, 41, 82, 164, 328
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,221,478,328,984, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
221:13x 17
478:2x 239
328:2x 2x 2x 41
984:2x 2x 2x 3x 41
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 41 = 2624
Therefore, the value for common factors is 2624.
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 = 30412629192192/(1x2624)
LCM = 30412629192192/2624
LCM = 11590178808
Thus, we can understand that the LCM of 892,221,478,328,984 is 11590178808.
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FAQs on LCM of 892, 221, 478, 328, 984
1. What is the LCM of 892, 221, 478, 328, 984?
Answer: LCM of 892, 221, 478, 328, 984 is 11590178808.
2. How to calculate the LCM of 892, 221, 478, 328, 984?
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 892, 221, 478, 328, 984.
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}.