LCM of 937, 876, 627, 384, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 876, 627, 384, 737 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 937, 876, 627, 384, 737. So, keep reading to learn more.
Given numbers are 937,876,627,384,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,876,627,384,737 is 367802573952.
Find LCM of 937,876,627,384,737 with Prime Factorization
| 2 | 937, 876, 627, 384, 737 |
| 2 | 937, 438, 627, 192, 737 |
| 3 | 937, 219, 627, 96, 737 |
| 11 | 937, 73, 209, 32, 737 |
| 937, 73, 19, 32, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 937 x 73 x 19 x 32 x 67 = 367802573952
Therefore, the lowest common multiple of 937,876,627,384,737 is 367802573952.
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.
937 x 876 x 627 x 384 x 737 = 145649819284992
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.
937 : 1, 937
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
627 : 1, 3, 11, 19, 33, 57, 209, 627
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,876,627,384,737, is 1.
Now, the common factors can be found like this.
937:937
876:2x 2x 3x 73
627:3x 11x 19
384:2x 2x 2x 2x 2x 2x 2x 3
737:11x 67
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 11 = 396
Therefore, the value for common factors is 396.
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 = 145649819284992/(1x396)
LCM = 145649819284992/396
LCM = 367802573952
Thus, we can understand that the LCM of 937,876,627,384,737 is 367802573952.
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FAQs on LCM of 937, 876, 627, 384, 737
1. What is the LCM of 937, 876, 627, 384, 737?
Answer: LCM of 937, 876, 627, 384, 737 is 367802573952.
2. How to calculate the LCM of 937, 876, 627, 384, 737?
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 937, 876, 627, 384, 737.
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}.