LCM of 847, 820, 812, 916, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 820, 812, 916, 987 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, 820, 812, 916, 987. So, keep reading to learn more.
Given numbers are 847,820,812,916,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,820,812,916,987 is 650354059740.
Find LCM of 847,820,812,916,987 with Prime Factorization
| 2 | 847, 820, 812, 916, 987 |
| 2 | 847, 410, 406, 458, 987 |
| 7 | 847, 205, 203, 229, 987 |
| 121, 205, 29, 229, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 121 x 205 x 29 x 229 x 141 = 650354059740
Therefore, the lowest common multiple of 847,820,812,916,987 is 650354059740.
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 820 x 812 x 916 x 987 = 509877582836160
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
916 : 1, 2, 4, 229, 458, 916
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,820,812,916,987, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
820:2x 2x 5x 41
812:2x 2x 7x 29
916:2x 2x 229
987:3x 7x 47
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 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 509877582836160/(1x784)
LCM = 509877582836160/784
LCM = 650354059740
Thus, we can understand that the LCM of 847,820,812,916,987 is 650354059740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 847, 820, 812, 916, 987
1. What is the LCM of 847, 820, 812, 916, 987?
Answer: LCM of 847, 820, 812, 916, 987 is 650354059740.
2. How to calculate the LCM of 847, 820, 812, 916, 987?
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, 820, 812, 916, 987.
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}.