LCM of 748, 946, 828, 908, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 946, 828, 908, 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 748, 946, 828, 908, 938. So, keep reading to learn more.
Given numbers are 748,946,828,908,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,946,828,908,938 is 708825117924.
Find LCM of 748,946,828,908,938 with Prime Factorization
| 2 | 748, 946, 828, 908, 938 |
| 2 | 374, 473, 414, 454, 469 |
| 11 | 187, 473, 207, 227, 469 |
| 17, 43, 207, 227, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 43 x 207 x 227 x 469 = 708825117924
Therefore, the lowest common multiple of 748,946,828,908,938 is 708825117924.
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.
748 x 946 x 828 x 908 x 938 = 499012883018496
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
946 : 1, 2, 11, 22, 43, 86, 473, 946
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
908 : 1, 2, 4, 227, 454, 908
938 : 1, 2, 7, 14, 67, 134, 469, 938
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,946,828,908,938, is 2.
Now, the common factors can be found like this.
748:2x 2x 11x 17
946:2x 11x 43
828:2x 2x 3x 3x 23
908:2x 2x 227
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 11 = 352
Therefore, the value for common factors is 352.
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 = 499012883018496/(2x352)
LCM = 499012883018496/704
LCM = 708825117924
Thus, we can understand that the LCM of 748,946,828,908,938 is 708825117924.
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FAQs on LCM of 748, 946, 828, 908, 938
1. What is the LCM of 748, 946, 828, 908, 938?
Answer: LCM of 748, 946, 828, 908, 938 is 708825117924.
2. How to calculate the LCM of 748, 946, 828, 908, 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 748, 946, 828, 908, 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}.