LCM of 957, 448, 102, 546, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 448, 102, 546, 704 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 957, 448, 102, 546, 704. So, keep reading to learn more.
Given numbers are 957,448,102,546,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,448,102,546,704 is 94750656.
Find LCM of 957,448,102,546,704 with Prime Factorization
| 2 | 957, 448, 102, 546, 704 |
| 2 | 957, 224, 51, 273, 352 |
| 2 | 957, 112, 51, 273, 176 |
| 2 | 957, 56, 51, 273, 88 |
| 2 | 957, 28, 51, 273, 44 |
| 2 | 957, 14, 51, 273, 22 |
| 3 | 957, 7, 51, 273, 11 |
| 7 | 319, 7, 17, 91, 11 |
| 11 | 319, 1, 17, 13, 11 |
| 29, 1, 17, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 29 x 1 x 17 x 13 x 1 = 94750656
Therefore, the lowest common multiple of 957,448,102,546,704 is 94750656.
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.
957 x 448 x 102 x 546 x 704 = 16809524379648
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
102 : 1, 2, 3, 6, 17, 34, 51, 102
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,448,102,546,704, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
448:2x 2x 2x 2x 2x 2x 7
102:2x 3x 17
546:2x 3x 7x 13
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 3x 3x 7x 11 = 177408
Therefore, the value for common factors is 177408.
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 = 16809524379648/(1x177408)
LCM = 16809524379648/177408
LCM = 94750656
Thus, we can understand that the LCM of 957,448,102,546,704 is 94750656.
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FAQs on LCM of 957, 448, 102, 546, 704
1. What is the LCM of 957, 448, 102, 546, 704?
Answer: LCM of 957, 448, 102, 546, 704 is 94750656.
2. How to calculate the LCM of 957, 448, 102, 546, 704?
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 957, 448, 102, 546, 704.
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}.