LCM of 963, 138, 149, 916, 263
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 138, 149, 916, 263 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 963, 138, 149, 916, 263. So, keep reading to learn more.
Given numbers are 963,138,149,916,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,138,149,916,263 is 795044822508.
Find LCM of 963,138,149,916,263 with Prime Factorization
| 2 | 963, 138, 149, 916, 263 |
| 3 | 963, 69, 149, 458, 263 |
| 321, 23, 149, 458, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 321 x 23 x 149 x 458 x 263 = 795044822508
Therefore, the lowest common multiple of 963,138,149,916,263 is 795044822508.
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.
963 x 138 x 149 x 916 x 263 = 4770268935048
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.
963 : 1, 3, 9, 107, 321, 963
138 : 1, 2, 3, 6, 23, 46, 69, 138
149 : 1, 149
916 : 1, 2, 4, 229, 458, 916
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,138,149,916,263, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
138:2x 3x 23
149:149
916:2x 2x 229
263:263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 4770268935048/(1x6)
LCM = 4770268935048/6
LCM = 795044822508
Thus, we can understand that the LCM of 963,138,149,916,263 is 795044822508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 138, 149, 916, 263
1. What is the LCM of 963, 138, 149, 916, 263?
Answer: LCM of 963, 138, 149, 916, 263 is 795044822508.
2. How to calculate the LCM of 963, 138, 149, 916, 263?
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 963, 138, 149, 916, 263.
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}.