LCM of 701, 842, 286, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 842, 286, 816 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 701, 842, 286, 816. So, keep reading to learn more.
Given numbers are 701,842,286,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,842,286,816 is 34437079248.
Find LCM of 701,842,286,816 with Prime Factorization
| 2 | 701, 842, 286, 816 |
| 701, 421, 143, 408 |
Multiply the prime numbers at the bottom and the left side.
2 x 701 x 421 x 143 x 408 = 34437079248
Therefore, the lowest common multiple of 701,842,286,816 is 34437079248.
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.
701 x 842 x 286 x 816 = 137748316992
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.
701 : 1, 701
842 : 1, 2, 421, 842
286 : 1, 2, 11, 13, 22, 26, 143, 286
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,842,286,816, is 1.
Now, the common factors can be found like this.
701:701
842:2x 421
286:2x 11x 13
816:2x 2x 2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 137748316992/(1x4)
LCM = 137748316992/4
LCM = 34437079248
Thus, we can understand that the LCM of 701,842,286,816 is 34437079248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 842, 286, 816
1. What is the LCM of 701, 842, 286, 816?
Answer: LCM of 701, 842, 286, 816 is 34437079248.
2. How to calculate the LCM of 701, 842, 286, 816?
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 701, 842, 286, 816.
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}.