LCM of 737, 723, 684, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 723, 684, 871 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 737, 723, 684, 871. So, keep reading to learn more.
Given numbers are 737,723,684,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,723,684,871 is 1579370364.
Find LCM of 737,723,684,871 with Prime Factorization
| 3 | 737, 723, 684, 871 |
| 67 | 737, 241, 228, 871 |
| 11, 241, 228, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 11 x 241 x 228 x 13 = 1579370364
Therefore, the lowest common multiple of 737,723,684,871 is 1579370364.
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.
737 x 723 x 684 x 871 = 317453443164
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.
737 : 1, 11, 67, 737
723 : 1, 3, 241, 723
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,723,684,871, is 1.
Now, the common factors can be found like this.
737:11x 67
723:3x 241
684:2x 2x 3x 3x 19
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 67 = 201
Therefore, the value for common factors is 201.
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 = 317453443164/(1x201)
LCM = 317453443164/201
LCM = 1579370364
Thus, we can understand that the LCM of 737,723,684,871 is 1579370364.
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FAQs on LCM of 737, 723, 684, 871
1. What is the LCM of 737, 723, 684, 871?
Answer: LCM of 737, 723, 684, 871 is 1579370364.
2. How to calculate the LCM of 737, 723, 684, 871?
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 737, 723, 684, 871.
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}.