LCM of 668, 194, 517, 962, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 194, 517, 962, 312 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 668, 194, 517, 962, 312. So, keep reading to learn more.
Given numbers are 668,194,517,962,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,194,517,962,312 is 96679649352.
Find LCM of 668,194,517,962,312 with Prime Factorization
| 2 | 668, 194, 517, 962, 312 |
| 2 | 334, 97, 517, 481, 156 |
| 13 | 167, 97, 517, 481, 78 |
| 167, 97, 517, 37, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 167 x 97 x 517 x 37 x 6 = 96679649352
Therefore, the lowest common multiple of 668,194,517,962,312 is 96679649352.
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.
668 x 194 x 517 x 962 x 312 = 20109367065216
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.
668 : 1, 2, 4, 167, 334, 668
194 : 1, 2, 97, 194
517 : 1, 11, 47, 517
962 : 1, 2, 13, 26, 37, 74, 481, 962
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,194,517,962,312, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
194:2x 97
517:11x 47
962:2x 13x 37
312:2x 2x 2x 3x 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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 20109367065216/(1x208)
LCM = 20109367065216/208
LCM = 96679649352
Thus, we can understand that the LCM of 668,194,517,962,312 is 96679649352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 668, 194, 517, 962, 312
1. What is the LCM of 668, 194, 517, 962, 312?
Answer: LCM of 668, 194, 517, 962, 312 is 96679649352.
2. How to calculate the LCM of 668, 194, 517, 962, 312?
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 668, 194, 517, 962, 312.
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}.