LCM of 174, 489, 893, 658, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 489, 893, 658, 683 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 174, 489, 893, 658, 683. So, keep reading to learn more.
Given numbers are 174,489,893,658,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,489,893,658,683 is 121089658746.
Find LCM of 174,489,893,658,683 with Prime Factorization
| 2 | 174, 489, 893, 658, 683 |
| 3 | 87, 489, 893, 329, 683 |
| 47 | 29, 163, 893, 329, 683 |
| 29, 163, 19, 7, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 29 x 163 x 19 x 7 x 683 = 121089658746
Therefore, the lowest common multiple of 174,489,893,658,683 is 121089658746.
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.
174 x 489 x 893 x 658 x 683 = 34147283766372
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
489 : 1, 3, 163, 489
893 : 1, 19, 47, 893
658 : 1, 2, 7, 14, 47, 94, 329, 658
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,489,893,658,683, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
489:3x 163
893:19x 47
658:2x 7x 47
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 47 = 282
Therefore, the value for common factors is 282.
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 = 34147283766372/(1x282)
LCM = 34147283766372/282
LCM = 121089658746
Thus, we can understand that the LCM of 174,489,893,658,683 is 121089658746.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 174, 489, 893, 658, 683
1. What is the LCM of 174, 489, 893, 658, 683?
Answer: LCM of 174, 489, 893, 658, 683 is 121089658746.
2. How to calculate the LCM of 174, 489, 893, 658, 683?
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 174, 489, 893, 658, 683.
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}.