LCM of 771, 714, 858, 852, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 714, 858, 852, 546 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 771, 714, 858, 852, 546. So, keep reading to learn more.
Given numbers are 771,714,858,852,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,714,858,852,546 is 3726110388.
Find LCM of 771,714,858,852,546 with Prime Factorization
| 2 | 771, 714, 858, 852, 546 |
| 3 | 771, 357, 429, 426, 273 |
| 7 | 257, 119, 143, 142, 91 |
| 13 | 257, 17, 143, 142, 13 |
| 257, 17, 11, 142, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 257 x 17 x 11 x 142 x 1 = 3726110388
Therefore, the lowest common multiple of 771,714,858,852,546 is 3726110388.
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.
771 x 714 x 858 x 852 x 546 = 219721277359584
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.
771 : 1, 3, 257, 771
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,714,858,852,546, is 3.
Now, the common factors can be found like this.
771:3x 257
714:2x 3x 7x 17
858:2x 3x 11x 13
852:2x 2x 3x 71
546:2x 3x 7x 13
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 3x 3x 3x 7x 13 = 19656
Therefore, the value for common factors is 19656.
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 = 219721277359584/(3x19656)
LCM = 219721277359584/58968
LCM = 3726110388
Thus, we can understand that the LCM of 771,714,858,852,546 is 3726110388.
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FAQs on LCM of 771, 714, 858, 852, 546
1. What is the LCM of 771, 714, 858, 852, 546?
Answer: LCM of 771, 714, 858, 852, 546 is 3726110388.
2. How to calculate the LCM of 771, 714, 858, 852, 546?
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 771, 714, 858, 852, 546.
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}.