LCM of 442, 886, 648, 959, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 886, 648, 959, 991 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 442, 886, 648, 959, 991. So, keep reading to learn more.
Given numbers are 442,886,648,959,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,886,648,959,991 is 60292496582136.
Find LCM of 442,886,648,959,991 with Prime Factorization
| 2 | 442, 886, 648, 959, 991 |
| 221, 443, 324, 959, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 221 x 443 x 324 x 959 x 991 = 60292496582136
Therefore, the lowest common multiple of 442,886,648,959,991 is 60292496582136.
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.
442 x 886 x 648 x 959 x 991 = 241169986328544
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
886 : 1, 2, 443, 886
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
959 : 1, 7, 137, 959
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,886,648,959,991, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
886:2x 443
648:2x 2x 2x 3x 3x 3x 3
959:7x 137
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 241169986328544/(1x4)
LCM = 241169986328544/4
LCM = 60292496582136
Thus, we can understand that the LCM of 442,886,648,959,991 is 60292496582136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 886, 648, 959, 991
1. What is the LCM of 442, 886, 648, 959, 991?
Answer: LCM of 442, 886, 648, 959, 991 is 60292496582136.
2. How to calculate the LCM of 442, 886, 648, 959, 991?
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 442, 886, 648, 959, 991.
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}.