LCM of 647, 858, 312, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 858, 312, 756 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 647, 858, 312, 756. So, keep reading to learn more.
Given numbers are 647,858,312,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,858,312,756 is 139891752.
Find LCM of 647,858,312,756 with Prime Factorization
| 2 | 647, 858, 312, 756 |
| 2 | 647, 429, 156, 378 |
| 3 | 647, 429, 78, 189 |
| 13 | 647, 143, 26, 63 |
| 647, 11, 2, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 647 x 11 x 2 x 63 = 139891752
Therefore, the lowest common multiple of 647,858,312,756 is 139891752.
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.
647 x 858 x 312 x 756 = 130938679872
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.
647 : 1, 647
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,858,312,756, is 1.
Now, the common factors can be found like this.
647:647
858:2x 3x 11x 13
312:2x 2x 2x 3x 13
756:2x 2x 3x 3x 3x 7
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 13 = 936
Therefore, the value for common factors is 936.
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 = 130938679872/(1x936)
LCM = 130938679872/936
LCM = 139891752
Thus, we can understand that the LCM of 647,858,312,756 is 139891752.
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FAQs on LCM of 647, 858, 312, 756
1. What is the LCM of 647, 858, 312, 756?
Answer: LCM of 647, 858, 312, 756 is 139891752.
2. How to calculate the LCM of 647, 858, 312, 756?
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 647, 858, 312, 756.
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}.