LCM of 706, 716, 756, 450, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 716, 756, 450, 896 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 706, 716, 756, 450, 896. So, keep reading to learn more.
Given numbers are 706,716,756,450,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,716,756,450,896 is 38215497600.
Find LCM of 706,716,756,450,896 with Prime Factorization
| 2 | 706, 716, 756, 450, 896 |
| 2 | 353, 358, 378, 225, 448 |
| 3 | 353, 179, 189, 225, 224 |
| 3 | 353, 179, 63, 75, 224 |
| 7 | 353, 179, 21, 25, 224 |
| 353, 179, 3, 25, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 353 x 179 x 3 x 25 x 32 = 38215497600
Therefore, the lowest common multiple of 706,716,756,450,896 is 38215497600.
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.
706 x 716 x 756 x 450 x 896 = 154084886323200
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.
706 : 1, 2, 353, 706
716 : 1, 2, 4, 179, 358, 716
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,716,756,450,896, is 2.
Now, the common factors can be found like this.
706:2x 353
716:2x 2x 179
756:2x 2x 3x 3x 3x 7
450:2x 3x 3x 5x 5
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 154084886323200/(2x2016)
LCM = 154084886323200/4032
LCM = 38215497600
Thus, we can understand that the LCM of 706,716,756,450,896 is 38215497600.
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FAQs on LCM of 706, 716, 756, 450, 896
1. What is the LCM of 706, 716, 756, 450, 896?
Answer: LCM of 706, 716, 756, 450, 896 is 38215497600.
2. How to calculate the LCM of 706, 716, 756, 450, 896?
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 706, 716, 756, 450, 896.
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}.