LCM of 218, 749, 107, 465, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 749, 107, 465, 832 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 218, 749, 107, 465, 832. So, keep reading to learn more.
Given numbers are 218,749,107,465,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,749,107,465,832 is 31585270080.
Find LCM of 218,749,107,465,832 with Prime Factorization
| 2 | 218, 749, 107, 465, 832 |
| 107 | 109, 749, 107, 465, 416 |
| 109, 7, 1, 465, 416 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 109 x 7 x 1 x 465 x 416 = 31585270080
Therefore, the lowest common multiple of 218,749,107,465,832 is 31585270080.
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.
218 x 749 x 107 x 465 x 832 = 6759247797120
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.
218 : 1, 2, 109, 218
749 : 1, 7, 107, 749
107 : 1, 107
465 : 1, 3, 5, 15, 31, 93, 155, 465
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,749,107,465,832, is 1.
Now, the common factors can be found like this.
218:2x 109
749:7x 107
107:107
465:3x 5x 31
832:2x 2x 2x 2x 2x 2x 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 107 = 214
Therefore, the value for common factors is 214.
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 = 6759247797120/(1x214)
LCM = 6759247797120/214
LCM = 31585270080
Thus, we can understand that the LCM of 218,749,107,465,832 is 31585270080.
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FAQs on LCM of 218, 749, 107, 465, 832
1. What is the LCM of 218, 749, 107, 465, 832?
Answer: LCM of 218, 749, 107, 465, 832 is 31585270080.
2. How to calculate the LCM of 218, 749, 107, 465, 832?
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 218, 749, 107, 465, 832.
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}.