LCM of 976, 184, 437, 461, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 184, 437, 461, 304 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 976, 184, 437, 461, 304. So, keep reading to learn more.
Given numbers are 976,184,437,461,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,184,437,461,304 is 196622032.
Find LCM of 976,184,437,461,304 with Prime Factorization
| 2 | 976, 184, 437, 461, 304 |
| 2 | 488, 92, 437, 461, 152 |
| 2 | 244, 46, 437, 461, 76 |
| 2 | 122, 23, 437, 461, 38 |
| 19 | 61, 23, 437, 461, 19 |
| 23 | 61, 23, 23, 461, 1 |
| 61, 1, 1, 461, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 23 x 61 x 1 x 1 x 461 x 1 = 196622032
Therefore, the lowest common multiple of 976,184,437,461,304 is 196622032.
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.
976 x 184 x 437 x 461 x 304 = 10998249981952
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
184 : 1, 2, 4, 8, 23, 46, 92, 184
437 : 1, 19, 23, 437
461 : 1, 461
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,184,437,461,304, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
184:2x 2x 2x 23
437:19x 23
461:461
304:2x 2x 2x 2x 19
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 19x 23 = 55936
Therefore, the value for common factors is 55936.
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 = 10998249981952/(1x55936)
LCM = 10998249981952/55936
LCM = 196622032
Thus, we can understand that the LCM of 976,184,437,461,304 is 196622032.
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FAQs on LCM of 976, 184, 437, 461, 304
1. What is the LCM of 976, 184, 437, 461, 304?
Answer: LCM of 976, 184, 437, 461, 304 is 196622032.
2. How to calculate the LCM of 976, 184, 437, 461, 304?
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 976, 184, 437, 461, 304.
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}.