LCM of 891, 634, 955, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 634, 955, 416 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 891, 634, 955, 416. So, keep reading to learn more.
Given numbers are 891,634,955,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,634,955,416 is 112210544160.
Find LCM of 891,634,955,416 with Prime Factorization
| 2 | 891, 634, 955, 416 |
| 891, 317, 955, 208 |
Multiply the prime numbers at the bottom and the left side.
2 x 891 x 317 x 955 x 208 = 112210544160
Therefore, the lowest common multiple of 891,634,955,416 is 112210544160.
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.
891 x 634 x 955 x 416 = 224421088320
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
634 : 1, 2, 317, 634
955 : 1, 5, 191, 955
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,634,955,416, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
634:2x 317
955:5x 191
416:2x 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.
2 = 2
Therefore, the value for common factors is 2.
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 = 224421088320/(1x2)
LCM = 224421088320/2
LCM = 112210544160
Thus, we can understand that the LCM of 891,634,955,416 is 112210544160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 891, 634, 955, 416
1. What is the LCM of 891, 634, 955, 416?
Answer: LCM of 891, 634, 955, 416 is 112210544160.
2. How to calculate the LCM of 891, 634, 955, 416?
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 891, 634, 955, 416.
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}.