LCM of 816, 884, 744, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 884, 744, 907 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 816, 884, 744, 907. So, keep reading to learn more.
Given numbers are 816,884,744,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,884,744,907 is 298265136.
Find LCM of 816,884,744,907 with Prime Factorization
| 2 | 816, 884, 744, 907 |
| 2 | 408, 442, 372, 907 |
| 2 | 204, 221, 186, 907 |
| 3 | 102, 221, 93, 907 |
| 17 | 34, 221, 31, 907 |
| 2, 13, 31, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 2 x 13 x 31 x 907 = 298265136
Therefore, the lowest common multiple of 816,884,744,907 is 298265136.
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.
816 x 884 x 744 x 907 = 486768701952
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,884,744,907, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
884:2x 2x 13x 17
744:2x 2x 2x 3x 31
907:907
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 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 486768701952/(1x1632)
LCM = 486768701952/1632
LCM = 298265136
Thus, we can understand that the LCM of 816,884,744,907 is 298265136.
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FAQs on LCM of 816, 884, 744, 907
1. What is the LCM of 816, 884, 744, 907?
Answer: LCM of 816, 884, 744, 907 is 298265136.
2. How to calculate the LCM of 816, 884, 744, 907?
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 816, 884, 744, 907.
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}.