LCM of 687, 318, 477, 959, 883
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 318, 477, 959, 883 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 687, 318, 477, 959, 883. So, keep reading to learn more.
Given numbers are 687,318,477,959,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,318,477,959,883 is 184996353402.
Find LCM of 687,318,477,959,883 with Prime Factorization
| 3 | 687, 318, 477, 959, 883 |
| 53 | 229, 106, 159, 959, 883 |
| 229, 2, 3, 959, 883 |
Multiply the prime numbers at the bottom and the left side.
3 x 53 x 229 x 2 x 3 x 959 x 883 = 184996353402
Therefore, the lowest common multiple of 687,318,477,959,883 is 184996353402.
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.
687 x 318 x 477 x 959 x 883 = 88243260572754
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.
687 : 1, 3, 229, 687
318 : 1, 2, 3, 6, 53, 106, 159, 318
477 : 1, 3, 9, 53, 159, 477
959 : 1, 7, 137, 959
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,318,477,959,883, is 1.
Now, the common factors can be found like this.
687:3x 229
318:2x 3x 53
477:3x 3x 53
959:7x 137
883:883
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 53 = 477
Therefore, the value for common factors is 477.
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 = 88243260572754/(1x477)
LCM = 88243260572754/477
LCM = 184996353402
Thus, we can understand that the LCM of 687,318,477,959,883 is 184996353402.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 687, 318, 477, 959, 883
1. What is the LCM of 687, 318, 477, 959, 883?
Answer: LCM of 687, 318, 477, 959, 883 is 184996353402.
2. How to calculate the LCM of 687, 318, 477, 959, 883?
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 687, 318, 477, 959, 883.
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}.