LCM of 878, 394, 524, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 394, 524, 689 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 878, 394, 524, 689. So, keep reading to learn more.
Given numbers are 878,394,524,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,394,524,689 is 31223476388.
Find LCM of 878,394,524,689 with Prime Factorization
| 2 | 878, 394, 524, 689 |
| 439, 197, 262, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 197 x 262 x 689 = 31223476388
Therefore, the lowest common multiple of 878,394,524,689 is 31223476388.
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.
878 x 394 x 524 x 689 = 124893905552
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.
878 : 1, 2, 439, 878
394 : 1, 2, 197, 394
524 : 1, 2, 4, 131, 262, 524
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,394,524,689, is 1.
Now, the common factors can be found like this.
878:2x 439
394:2x 197
524:2x 2x 131
689:13x 53
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 = 124893905552/(1x4)
LCM = 124893905552/4
LCM = 31223476388
Thus, we can understand that the LCM of 878,394,524,689 is 31223476388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 878, 394, 524, 689
1. What is the LCM of 878, 394, 524, 689?
Answer: LCM of 878, 394, 524, 689 is 31223476388.
2. How to calculate the LCM of 878, 394, 524, 689?
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 878, 394, 524, 689.
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}.