LCM of 852, 902, 651, 979, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 902, 651, 979, 759 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 852, 902, 651, 979, 759. So, keep reading to learn more.
Given numbers are 852,902,651,979,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,902,651,979,759 is 170684354148.
Find LCM of 852,902,651,979,759 with Prime Factorization
| 2 | 852, 902, 651, 979, 759 |
| 3 | 426, 451, 651, 979, 759 |
| 11 | 142, 451, 217, 979, 253 |
| 142, 41, 217, 89, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 142 x 41 x 217 x 89 x 23 = 170684354148
Therefore, the lowest common multiple of 852,902,651,979,759 is 170684354148.
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.
852 x 902 x 651 x 979 x 759 = 371750523334344
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
902 : 1, 2, 11, 22, 41, 82, 451, 902
651 : 1, 3, 7, 21, 31, 93, 217, 651
979 : 1, 11, 89, 979
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,902,651,979,759, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
902:2x 11x 41
651:3x 7x 31
979:11x 89
759:3x 11x 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 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 371750523334344/(1x2178)
LCM = 371750523334344/2178
LCM = 170684354148
Thus, we can understand that the LCM of 852,902,651,979,759 is 170684354148.
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FAQs on LCM of 852, 902, 651, 979, 759
1. What is the LCM of 852, 902, 651, 979, 759?
Answer: LCM of 852, 902, 651, 979, 759 is 170684354148.
2. How to calculate the LCM of 852, 902, 651, 979, 759?
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 852, 902, 651, 979, 759.
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}.