LCM of 976, 314, 366, 417, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 314, 366, 417, 546 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, 314, 366, 417, 546. So, keep reading to learn more.
Given numbers are 976,314,366,417,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,314,366,417,546 is 5814694704.
Find LCM of 976,314,366,417,546 with Prime Factorization
| 2 | 976, 314, 366, 417, 546 |
| 3 | 488, 157, 183, 417, 273 |
| 61 | 488, 157, 61, 139, 91 |
| 8, 157, 1, 139, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 8 x 157 x 1 x 139 x 91 = 5814694704
Therefore, the lowest common multiple of 976,314,366,417,546 is 5814694704.
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 314 x 366 x 417 x 546 = 25538139139968
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
314 : 1, 2, 157, 314
366 : 1, 2, 3, 6, 61, 122, 183, 366
417 : 1, 3, 139, 417
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,314,366,417,546, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
314:2x 157
366:2x 3x 61
417:3x 139
546:2x 3x 7x 13
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 3x 3x 61 = 4392
Therefore, the value for common factors is 4392.
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 = 25538139139968/(1x4392)
LCM = 25538139139968/4392
LCM = 5814694704
Thus, we can understand that the LCM of 976,314,366,417,546 is 5814694704.
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FAQs on LCM of 976, 314, 366, 417, 546
1. What is the LCM of 976, 314, 366, 417, 546?
Answer: LCM of 976, 314, 366, 417, 546 is 5814694704.
2. How to calculate the LCM of 976, 314, 366, 417, 546?
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, 314, 366, 417, 546.
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}.