LCM of 268, 471, 648, 884, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 471, 648, 884, 938 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 268, 471, 648, 884, 938. So, keep reading to learn more.
Given numbers are 268,471,648,884,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,471,648,884,938 is 10544834664.
Find LCM of 268,471,648,884,938 with Prime Factorization
| 2 | 268, 471, 648, 884, 938 |
| 2 | 134, 471, 324, 442, 469 |
| 3 | 67, 471, 162, 221, 469 |
| 67 | 67, 157, 54, 221, 469 |
| 1, 157, 54, 221, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 1 x 157 x 54 x 221 x 7 = 10544834664
Therefore, the lowest common multiple of 268,471,648,884,938 is 10544834664.
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.
268 x 471 x 648 x 884 x 938 = 67824376558848
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.
268 : 1, 2, 4, 67, 134, 268
471 : 1, 3, 157, 471
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,471,648,884,938, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
471:3x 157
648:2x 2x 2x 3x 3x 3x 3
884:2x 2x 13x 17
938:2x 7x 67
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 3x 67 = 6432
Therefore, the value for common factors is 6432.
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 = 67824376558848/(1x6432)
LCM = 67824376558848/6432
LCM = 10544834664
Thus, we can understand that the LCM of 268,471,648,884,938 is 10544834664.
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FAQs on LCM of 268, 471, 648, 884, 938
1. What is the LCM of 268, 471, 648, 884, 938?
Answer: LCM of 268, 471, 648, 884, 938 is 10544834664.
2. How to calculate the LCM of 268, 471, 648, 884, 938?
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 268, 471, 648, 884, 938.
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}.