LCM of 177, 494, 531, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 494, 531, 962 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 177, 494, 531, 962. So, keep reading to learn more.
Given numbers are 177,494,531,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,494,531,962 is 9705618.
Find LCM of 177,494,531,962 with Prime Factorization
| 2 | 177, 494, 531, 962 |
| 3 | 177, 247, 531, 481 |
| 13 | 59, 247, 177, 481 |
| 59 | 59, 19, 177, 37 |
| 1, 19, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 59 x 1 x 19 x 3 x 37 = 9705618
Therefore, the lowest common multiple of 177,494,531,962 is 9705618.
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.
177 x 494 x 531 x 962 = 44665254036
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.
177 : 1, 3, 59, 177
494 : 1, 2, 13, 19, 26, 38, 247, 494
531 : 1, 3, 9, 59, 177, 531
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,494,531,962, is 1.
Now, the common factors can be found like this.
177:3x 59
494:2x 13x 19
531:3x 3x 59
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 59 = 4602
Therefore, the value for common factors is 4602.
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 = 44665254036/(1x4602)
LCM = 44665254036/4602
LCM = 9705618
Thus, we can understand that the LCM of 177,494,531,962 is 9705618.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 177, 494, 531, 962
1. What is the LCM of 177, 494, 531, 962?
Answer: LCM of 177, 494, 531, 962 is 9705618.
2. How to calculate the LCM of 177, 494, 531, 962?
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 177, 494, 531, 962.
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}.