LCM of 878, 804, 392, 546, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 804, 392, 546, 691 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, 804, 392, 546, 691. So, keep reading to learn more.
Given numbers are 878,804,392,546,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,804,392,546,691 is 310719167304.
Find LCM of 878,804,392,546,691 with Prime Factorization
| 2 | 878, 804, 392, 546, 691 |
| 2 | 439, 402, 196, 273, 691 |
| 3 | 439, 201, 98, 273, 691 |
| 7 | 439, 67, 98, 91, 691 |
| 439, 67, 14, 13, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 439 x 67 x 14 x 13 x 691 = 310719167304
Therefore, the lowest common multiple of 878,804,392,546,691 is 310719167304.
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 804 x 392 x 546 x 691 = 104401640214144
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
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,804,392,546,691, is 1.
Now, the common factors can be found like this.
878:2x 439
804:2x 2x 3x 67
392:2x 2x 2x 7x 7
546:2x 3x 7x 13
691:691
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 104401640214144/(1x336)
LCM = 104401640214144/336
LCM = 310719167304
Thus, we can understand that the LCM of 878,804,392,546,691 is 310719167304.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 878, 804, 392, 546, 691
1. What is the LCM of 878, 804, 392, 546, 691?
Answer: LCM of 878, 804, 392, 546, 691 is 310719167304.
2. How to calculate the LCM of 878, 804, 392, 546, 691?
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, 804, 392, 546, 691.
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}.