LCM of 514, 334, 608, 874, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 334, 608, 874, 962 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 514, 334, 608, 874, 962. So, keep reading to learn more.
Given numbers are 514,334,608,874,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,334,608,874,962 is 288686241376.
Find LCM of 514,334,608,874,962 with Prime Factorization
| 2 | 514, 334, 608, 874, 962 |
| 19 | 257, 167, 304, 437, 481 |
| 257, 167, 16, 23, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 257 x 167 x 16 x 23 x 481 = 288686241376
Therefore, the lowest common multiple of 514,334,608,874,962 is 288686241376.
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.
514 x 334 x 608 x 874 x 962 = 87760617378304
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.
514 : 1, 2, 257, 514
334 : 1, 2, 167, 334
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
874 : 1, 2, 19, 23, 38, 46, 437, 874
962 : 1, 2, 13, 26, 37, 74, 481, 962
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,334,608,874,962, is 2.
Now, the common factors can be found like this.
514:2x 257
334:2x 167
608:2x 2x 2x 2x 2x 19
874:2x 19x 23
962:2x 13x 37
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 19 = 152
Therefore, the value for common factors is 152.
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 = 87760617378304/(2x152)
LCM = 87760617378304/304
LCM = 288686241376
Thus, we can understand that the LCM of 514,334,608,874,962 is 288686241376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 334, 608, 874, 962
1. What is the LCM of 514, 334, 608, 874, 962?
Answer: LCM of 514, 334, 608, 874, 962 is 288686241376.
2. How to calculate the LCM of 514, 334, 608, 874, 962?
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 514, 334, 608, 874, 962.
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}.