LCM of 787, 120, 332, 242, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 120, 332, 242, 824 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 787, 120, 332, 242, 824. So, keep reading to learn more.
Given numbers are 787,120,332,242,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,120,332,242,824 is 97691474760.
Find LCM of 787,120,332,242,824 with Prime Factorization
| 2 | 787, 120, 332, 242, 824 |
| 2 | 787, 60, 166, 121, 412 |
| 2 | 787, 30, 83, 121, 206 |
| 787, 15, 83, 121, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 787 x 15 x 83 x 121 x 103 = 97691474760
Therefore, the lowest common multiple of 787,120,332,242,824 is 97691474760.
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.
787 x 120 x 332 x 242 x 824 = 6252254384640
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.
787 : 1, 787
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
332 : 1, 2, 4, 83, 166, 332
242 : 1, 2, 11, 22, 121, 242
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,120,332,242,824, is 1.
Now, the common factors can be found like this.
787:787
120:2x 2x 2x 3x 5
332:2x 2x 83
242:2x 11x 11
824:2x 2x 2x 103
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 2 = 64
Therefore, the value for common factors is 64.
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 = 6252254384640/(1x64)
LCM = 6252254384640/64
LCM = 97691474760
Thus, we can understand that the LCM of 787,120,332,242,824 is 97691474760.
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FAQs on LCM of 787, 120, 332, 242, 824
1. What is the LCM of 787, 120, 332, 242, 824?
Answer: LCM of 787, 120, 332, 242, 824 is 97691474760.
2. How to calculate the LCM of 787, 120, 332, 242, 824?
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 787, 120, 332, 242, 824.
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}.