LCM of 748, 944, 969, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 944, 969, 305 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, 944, 969, 305. So, keep reading to learn more.
Given numbers are 748,944,969,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,944,969,305 is 3068939280.
Find LCM of 748,944,969,305 with Prime Factorization
| 2 | 748, 944, 969, 305 |
| 2 | 374, 472, 969, 305 |
| 17 | 187, 236, 969, 305 |
| 11, 236, 57, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 11 x 236 x 57 x 305 = 3068939280
Therefore, the lowest common multiple of 748,944,969,305 is 3068939280.
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 944 x 969 x 305 = 208687871040
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
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
969 : 1, 3, 17, 19, 51, 57, 323, 969
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,944,969,305, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
944:2x 2x 2x 2x 59
969:3x 17x 19
305:5x 61
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 17 = 68
Therefore, the value for common factors is 68.
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 = 208687871040/(1x68)
LCM = 208687871040/68
LCM = 3068939280
Thus, we can understand that the LCM of 748,944,969,305 is 3068939280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 944, 969, 305
1. What is the LCM of 748, 944, 969, 305?
Answer: LCM of 748, 944, 969, 305 is 3068939280.
2. How to calculate the LCM of 748, 944, 969, 305?
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, 944, 969, 305.
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}.