LCM of 742, 837, 756, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 837, 756, 786 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 742, 837, 756, 786. So, keep reading to learn more.
Given numbers are 742,837,756,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,837,756,786 is 162716148.
Find LCM of 742,837,756,786 with Prime Factorization
| 2 | 742, 837, 756, 786 |
| 3 | 371, 837, 378, 393 |
| 3 | 371, 279, 126, 131 |
| 3 | 371, 93, 42, 131 |
| 7 | 371, 31, 14, 131 |
| 53, 31, 2, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 53 x 31 x 2 x 131 = 162716148
Therefore, the lowest common multiple of 742,837,756,786 is 162716148.
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.
742 x 837 x 756 x 786 = 369040223664
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
837 : 1, 3, 9, 27, 31, 93, 279, 837
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,837,756,786, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
837:3x 3x 3x 31
756:2x 2x 3x 3x 3x 7
786:2x 3x 131
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 7 = 2268
Therefore, the value for common factors is 2268.
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 = 369040223664/(1x2268)
LCM = 369040223664/2268
LCM = 162716148
Thus, we can understand that the LCM of 742,837,756,786 is 162716148.
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FAQs on LCM of 742, 837, 756, 786
1. What is the LCM of 742, 837, 756, 786?
Answer: LCM of 742, 837, 756, 786 is 162716148.
2. How to calculate the LCM of 742, 837, 756, 786?
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 742, 837, 756, 786.
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}.