LCM of 910, 782, 749, 840, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 782, 749, 840, 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 910, 782, 749, 840, 896. So, keep reading to learn more.
Given numbers are 910,782,749,840,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,782,749,840,896 is 7309760640.
Find LCM of 910,782,749,840,896 with Prime Factorization
| 2 | 910, 782, 749, 840, 896 |
| 2 | 455, 391, 749, 420, 448 |
| 2 | 455, 391, 749, 210, 224 |
| 5 | 455, 391, 749, 105, 112 |
| 7 | 91, 391, 749, 21, 112 |
| 13, 391, 107, 3, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 13 x 391 x 107 x 3 x 16 = 7309760640
Therefore, the lowest common multiple of 910,782,749,840,896 is 7309760640.
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.
910 x 782 x 749 x 840 x 896 = 401159663923200
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
782 : 1, 2, 17, 23, 34, 46, 391, 782
749 : 1, 7, 107, 749
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,782,749,840,896, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
782:2x 17x 23
749:7x 107
840:2x 2x 2x 3x 5x 7
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 5x 7x 7x 7 = 54880
Therefore, the value for common factors is 54880.
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 = 401159663923200/(1x54880)
LCM = 401159663923200/54880
LCM = 7309760640
Thus, we can understand that the LCM of 910,782,749,840,896 is 7309760640.
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FAQs on LCM of 910, 782, 749, 840, 896
1. What is the LCM of 910, 782, 749, 840, 896?
Answer: LCM of 910, 782, 749, 840, 896 is 7309760640.
2. How to calculate the LCM of 910, 782, 749, 840, 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 910, 782, 749, 840, 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}.