LCM of 634, 534, 986, 261, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 534, 986, 261, 872 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 634, 534, 986, 261, 872. So, keep reading to learn more.
Given numbers are 634,534,986,261,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,534,986,261,872 is 109157902632.
Find LCM of 634,534,986,261,872 with Prime Factorization
| 2 | 634, 534, 986, 261, 872 |
| 3 | 317, 267, 493, 261, 436 |
| 29 | 317, 89, 493, 87, 436 |
| 317, 89, 17, 3, 436 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 317 x 89 x 17 x 3 x 436 = 109157902632
Therefore, the lowest common multiple of 634,534,986,261,872 is 109157902632.
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.
634 x 534 x 986 x 261 x 872 = 75973900231872
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.
634 : 1, 2, 317, 634
534 : 1, 2, 3, 6, 89, 178, 267, 534
986 : 1, 2, 17, 29, 34, 58, 493, 986
261 : 1, 3, 9, 29, 87, 261
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,534,986,261,872, is 1.
Now, the common factors can be found like this.
634:2x 317
534:2x 3x 89
986:2x 17x 29
261:3x 3x 29
872:2x 2x 2x 109
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 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 75973900231872/(1x696)
LCM = 75973900231872/696
LCM = 109157902632
Thus, we can understand that the LCM of 634,534,986,261,872 is 109157902632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 534, 986, 261, 872
1. What is the LCM of 634, 534, 986, 261, 872?
Answer: LCM of 634, 534, 986, 261, 872 is 109157902632.
2. How to calculate the LCM of 634, 534, 986, 261, 872?
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 634, 534, 986, 261, 872.
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}.