LCM of 781, 927, 864, 756, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 927, 864, 756, 309 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 781, 927, 864, 756, 309. So, keep reading to learn more.
Given numbers are 781,927,864,756,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,927,864,756,309 is 486519264.
Find LCM of 781,927,864,756,309 with Prime Factorization
| 2 | 781, 927, 864, 756, 309 |
| 2 | 781, 927, 432, 378, 309 |
| 3 | 781, 927, 216, 189, 309 |
| 3 | 781, 103, 72, 63, 309 |
| 3 | 781, 103, 24, 21, 103 |
| 103 | 781, 103, 8, 7, 103 |
| 781, 1, 8, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 103 x 781 x 1 x 8 x 7 x 1 = 486519264
Therefore, the lowest common multiple of 781,927,864,756,309 is 486519264.
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.
781 x 927 x 864 x 756 x 309 = 146125087903872
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.
781 : 1, 11, 71, 781
927 : 1, 3, 9, 103, 309, 927
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,927,864,756,309, is 1.
Now, the common factors can be found like this.
781:11x 71
927:3x 3x 103
864:2x 2x 2x 2x 2x 3x 3x 3
756:2x 2x 3x 3x 3x 7
309:3x 103
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 3x 3x 3x 3x 3x 3x 103 = 300348
Therefore, the value for common factors is 300348.
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 = 146125087903872/(1x300348)
LCM = 146125087903872/300348
LCM = 486519264
Thus, we can understand that the LCM of 781,927,864,756,309 is 486519264.
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FAQs on LCM of 781, 927, 864, 756, 309
1. What is the LCM of 781, 927, 864, 756, 309?
Answer: LCM of 781, 927, 864, 756, 309 is 486519264.
2. How to calculate the LCM of 781, 927, 864, 756, 309?
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 781, 927, 864, 756, 309.
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}.