LCM of 373, 364, 683, 854, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 364, 683, 854, 209 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 373, 364, 683, 854, 209. So, keep reading to learn more.
Given numbers are 373,364,683,854,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,364,683,854,209 is 1182243786724.
Find LCM of 373,364,683,854,209 with Prime Factorization
| 2 | 373, 364, 683, 854, 209 |
| 7 | 373, 182, 683, 427, 209 |
| 373, 26, 683, 61, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 373 x 26 x 683 x 61 x 209 = 1182243786724
Therefore, the lowest common multiple of 373,364,683,854,209 is 1182243786724.
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.
373 x 364 x 683 x 854 x 209 = 16551413014136
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.
373 : 1, 373
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
683 : 1, 683
854 : 1, 2, 7, 14, 61, 122, 427, 854
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,364,683,854,209, is 1.
Now, the common factors can be found like this.
373:373
364:2x 2x 7x 13
683:683
854:2x 7x 61
209:11x 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 7 = 14
Therefore, the value for common factors is 14.
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 = 16551413014136/(1x14)
LCM = 16551413014136/14
LCM = 1182243786724
Thus, we can understand that the LCM of 373,364,683,854,209 is 1182243786724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 364, 683, 854, 209
1. What is the LCM of 373, 364, 683, 854, 209?
Answer: LCM of 373, 364, 683, 854, 209 is 1182243786724.
2. How to calculate the LCM of 373, 364, 683, 854, 209?
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 373, 364, 683, 854, 209.
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}.