LCM of 847, 132, 872, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 132, 872, 306 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 847, 132, 872, 306. So, keep reading to learn more.
Given numbers are 847,132,872,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,132,872,306 is 113003352.
Find LCM of 847,132,872,306 with Prime Factorization
| 2 | 847, 132, 872, 306 |
| 2 | 847, 66, 436, 153 |
| 3 | 847, 33, 218, 153 |
| 11 | 847, 11, 218, 51 |
| 77, 1, 218, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 77 x 1 x 218 x 51 = 113003352
Therefore, the lowest common multiple of 847,132,872,306 is 113003352.
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.
847 x 132 x 872 x 306 = 29832884928
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.
847 : 1, 7, 11, 77, 121, 847
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
872 : 1, 2, 4, 8, 109, 218, 436, 872
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,132,872,306, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
132:2x 2x 3x 11
872:2x 2x 2x 109
306:2x 3x 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 2x 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 29832884928/(1x264)
LCM = 29832884928/264
LCM = 113003352
Thus, we can understand that the LCM of 847,132,872,306 is 113003352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 847, 132, 872, 306
1. What is the LCM of 847, 132, 872, 306?
Answer: LCM of 847, 132, 872, 306 is 113003352.
2. How to calculate the LCM of 847, 132, 872, 306?
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 847, 132, 872, 306.
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}.