LCM of 745, 638, 448, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 638, 448, 957 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 745, 638, 448, 957. So, keep reading to learn more.
Given numbers are 745,638,448,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,638,448,957 is 319408320.
Find LCM of 745,638,448,957 with Prime Factorization
| 2 | 745, 638, 448, 957 |
| 11 | 745, 319, 224, 957 |
| 29 | 745, 29, 224, 87 |
| 745, 1, 224, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 745 x 1 x 224 x 3 = 319408320
Therefore, the lowest common multiple of 745,638,448,957 is 319408320.
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.
745 x 638 x 448 x 957 = 203782508160
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.
745 : 1, 5, 149, 745
638 : 1, 2, 11, 22, 29, 58, 319, 638
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,638,448,957, is 1.
Now, the common factors can be found like this.
745:5x 149
638:2x 11x 29
448:2x 2x 2x 2x 2x 2x 7
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 29 = 638
Therefore, the value for common factors is 638.
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 = 203782508160/(1x638)
LCM = 203782508160/638
LCM = 319408320
Thus, we can understand that the LCM of 745,638,448,957 is 319408320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 745, 638, 448, 957
1. What is the LCM of 745, 638, 448, 957?
Answer: LCM of 745, 638, 448, 957 is 319408320.
2. How to calculate the LCM of 745, 638, 448, 957?
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 745, 638, 448, 957.
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}.