LCM of 796, 874, 437, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 874, 437, 159 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 796, 874, 437, 159. So, keep reading to learn more.
Given numbers are 796,874,437,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,874,437,159 is 55308468.
Find LCM of 796,874,437,159 with Prime Factorization
| 2 | 796, 874, 437, 159 |
| 19 | 398, 437, 437, 159 |
| 23 | 398, 23, 23, 159 |
| 398, 1, 1, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 398 x 1 x 1 x 159 = 55308468
Therefore, the lowest common multiple of 796,874,437,159 is 55308468.
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.
796 x 874 x 437 x 159 = 48339601032
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.
796 : 1, 2, 4, 199, 398, 796
874 : 1, 2, 19, 23, 38, 46, 437, 874
437 : 1, 19, 23, 437
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,874,437,159, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
874:2x 19x 23
437:19x 23
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 23 = 874
Therefore, the value for common factors is 874.
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 = 48339601032/(1x874)
LCM = 48339601032/874
LCM = 55308468
Thus, we can understand that the LCM of 796,874,437,159 is 55308468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 796, 874, 437, 159
1. What is the LCM of 796, 874, 437, 159?
Answer: LCM of 796, 874, 437, 159 is 55308468.
2. How to calculate the LCM of 796, 874, 437, 159?
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 796, 874, 437, 159.
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}.