LCM of 867, 772, 714, 458, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 772, 714, 458, 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 867, 772, 714, 458, 816. So, keep reading to learn more.
Given numbers are 867,772,714,458,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,772,714,458,816 is 4291705488.
Find LCM of 867,772,714,458,816 with Prime Factorization
| 2 | 867, 772, 714, 458, 816 |
| 2 | 867, 386, 357, 229, 408 |
| 3 | 867, 193, 357, 229, 204 |
| 17 | 289, 193, 119, 229, 68 |
| 17, 193, 7, 229, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 17 x 193 x 7 x 229 x 4 = 4291705488
Therefore, the lowest common multiple of 867,772,714,458,816 is 4291705488.
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.
867 x 772 x 714 x 458 x 816 = 178603615588608
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.
867 : 1, 3, 17, 51, 289, 867
772 : 1, 2, 4, 193, 386, 772
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
458 : 1, 2, 229, 458
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 867,772,714,458,816, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
772:2x 2x 193
714:2x 3x 7x 17
458:2x 229
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 2x 2x 2x 3x 3x 17x 17 = 41616
Therefore, the value for common factors is 41616.
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 = 178603615588608/(1x41616)
LCM = 178603615588608/41616
LCM = 4291705488
Thus, we can understand that the LCM of 867,772,714,458,816 is 4291705488.
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FAQs on LCM of 867, 772, 714, 458, 816
1. What is the LCM of 867, 772, 714, 458, 816?
Answer: LCM of 867, 772, 714, 458, 816 is 4291705488.
2. How to calculate the LCM of 867, 772, 714, 458, 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 867, 772, 714, 458, 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}.