LCM of 687, 347, 429, 708, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 347, 429, 708, 810 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 687, 347, 429, 708, 810. So, keep reading to learn more.
Given numbers are 687,347,429,708,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,347,429,708,810 is 1086095516220.
Find LCM of 687,347,429,708,810 with Prime Factorization
| 2 | 687, 347, 429, 708, 810 |
| 3 | 687, 347, 429, 354, 405 |
| 229, 347, 143, 118, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 229 x 347 x 143 x 118 x 135 = 1086095516220
Therefore, the lowest common multiple of 687,347,429,708,810 is 1086095516220.
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.
687 x 347 x 429 x 708 x 810 = 58649157875880
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.
687 : 1, 3, 229, 687
347 : 1, 347
429 : 1, 3, 11, 13, 33, 39, 143, 429
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,347,429,708,810, is 1.
Now, the common factors can be found like this.
687:3x 229
347:347
429:3x 11x 13
708:2x 2x 3x 59
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 58649157875880/(1x54)
LCM = 58649157875880/54
LCM = 1086095516220
Thus, we can understand that the LCM of 687,347,429,708,810 is 1086095516220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 687, 347, 429, 708, 810
1. What is the LCM of 687, 347, 429, 708, 810?
Answer: LCM of 687, 347, 429, 708, 810 is 1086095516220.
2. How to calculate the LCM of 687, 347, 429, 708, 810?
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 687, 347, 429, 708, 810.
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}.