LCM of 842, 904, 824, 961, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 904, 824, 961, 302 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 842, 904, 824, 961, 302. So, keep reading to learn more.
Given numbers are 842,904,824,961,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,904,824,961,302 is 5688373256872.
Find LCM of 842,904,824,961,302 with Prime Factorization
| 2 | 842, 904, 824, 961, 302 |
| 2 | 421, 452, 412, 961, 151 |
| 2 | 421, 226, 206, 961, 151 |
| 421, 113, 103, 961, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 421 x 113 x 103 x 961 x 151 = 5688373256872
Therefore, the lowest common multiple of 842,904,824,961,302 is 5688373256872.
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.
842 x 904 x 824 x 961 x 302 = 182027944219904
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.
842 : 1, 2, 421, 842
904 : 1, 2, 4, 8, 113, 226, 452, 904
824 : 1, 2, 4, 8, 103, 206, 412, 824
961 : 1, 31, 961
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,904,824,961,302, is 1.
Now, the common factors can be found like this.
842:2x 421
904:2x 2x 2x 113
824:2x 2x 2x 103
961:31x 31
302:2x 151
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 2 = 32
Therefore, the value for common factors is 32.
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 = 182027944219904/(1x32)
LCM = 182027944219904/32
LCM = 5688373256872
Thus, we can understand that the LCM of 842,904,824,961,302 is 5688373256872.
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FAQs on LCM of 842, 904, 824, 961, 302
1. What is the LCM of 842, 904, 824, 961, 302?
Answer: LCM of 842, 904, 824, 961, 302 is 5688373256872.
2. How to calculate the LCM of 842, 904, 824, 961, 302?
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 842, 904, 824, 961, 302.
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}.