LCM of 682, 437, 505, 336, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 437, 505, 336, 894 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 682, 437, 505, 336, 894. So, keep reading to learn more.
Given numbers are 682,437,505,336,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,437,505,336,894 is 3767495479440.
Find LCM of 682,437,505,336,894 with Prime Factorization
| 2 | 682, 437, 505, 336, 894 |
| 3 | 341, 437, 505, 168, 447 |
| 341, 437, 505, 56, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 341 x 437 x 505 x 56 x 149 = 3767495479440
Therefore, the lowest common multiple of 682,437,505,336,894 is 3767495479440.
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.
682 x 437 x 505 x 336 x 894 = 45209945753280
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
437 : 1, 19, 23, 437
505 : 1, 5, 101, 505
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,437,505,336,894, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
437:19x 23
505:5x 101
336:2x 2x 2x 2x 3x 7
894:2x 3x 149
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 3 = 12
Therefore, the value for common factors is 12.
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 = 45209945753280/(1x12)
LCM = 45209945753280/12
LCM = 3767495479440
Thus, we can understand that the LCM of 682,437,505,336,894 is 3767495479440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 437, 505, 336, 894
1. What is the LCM of 682, 437, 505, 336, 894?
Answer: LCM of 682, 437, 505, 336, 894 is 3767495479440.
2. How to calculate the LCM of 682, 437, 505, 336, 894?
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 682, 437, 505, 336, 894.
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}.