LCM of 879, 630, 897, 713, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 630, 897, 713, 828 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 879, 630, 897, 713, 828. So, keep reading to learn more.
Given numbers are 879,630,897,713,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,630,897,713,828 is 3421929420.
Find LCM of 879,630,897,713,828 with Prime Factorization
| 2 | 879, 630, 897, 713, 828 |
| 3 | 879, 315, 897, 713, 414 |
| 3 | 293, 105, 299, 713, 138 |
| 23 | 293, 35, 299, 713, 46 |
| 293, 35, 13, 31, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 293 x 35 x 13 x 31 x 2 = 3421929420
Therefore, the lowest common multiple of 879,630,897,713,828 is 3421929420.
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.
879 x 630 x 897 x 713 x 828 = 293252507435160
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.
879 : 1, 3, 293, 879
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
897 : 1, 3, 13, 23, 39, 69, 299, 897
713 : 1, 23, 31, 713
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,630,897,713,828, is 1.
Now, the common factors can be found like this.
879:3x 293
630:2x 3x 3x 5x 7
897:3x 13x 23
713:23x 31
828:2x 2x 3x 3x 23
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 3x 3x 3x 23x 23 = 85698
Therefore, the value for common factors is 85698.
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 = 293252507435160/(1x85698)
LCM = 293252507435160/85698
LCM = 3421929420
Thus, we can understand that the LCM of 879,630,897,713,828 is 3421929420.
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FAQs on LCM of 879, 630, 897, 713, 828
1. What is the LCM of 879, 630, 897, 713, 828?
Answer: LCM of 879, 630, 897, 713, 828 is 3421929420.
2. How to calculate the LCM of 879, 630, 897, 713, 828?
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 879, 630, 897, 713, 828.
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}.