LCM of 917, 492, 322, 896, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 492, 322, 896, 684 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 917, 492, 322, 896, 684. So, keep reading to learn more.
Given numbers are 917,492,322,896,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,492,322,896,684 is 18927232128.
Find LCM of 917,492,322,896,684 with Prime Factorization
| 2 | 917, 492, 322, 896, 684 |
| 2 | 917, 246, 161, 448, 342 |
| 3 | 917, 123, 161, 224, 171 |
| 7 | 917, 41, 161, 224, 57 |
| 131, 41, 23, 32, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 131 x 41 x 23 x 32 x 57 = 18927232128
Therefore, the lowest common multiple of 917,492,322,896,684 is 18927232128.
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.
917 x 492 x 322 x 896 x 684 = 89033699930112
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.
917 : 1, 7, 131, 917
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
322 : 1, 2, 7, 14, 23, 46, 161, 322
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,492,322,896,684, is 1.
Now, the common factors can be found like this.
917:7x 131
492:2x 2x 3x 41
322:2x 7x 23
896:2x 2x 2x 2x 2x 2x 2x 7
684:2x 2x 3x 3x 19
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 7x 7 = 4704
Therefore, the value for common factors is 4704.
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 = 89033699930112/(1x4704)
LCM = 89033699930112/4704
LCM = 18927232128
Thus, we can understand that the LCM of 917,492,322,896,684 is 18927232128.
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FAQs on LCM of 917, 492, 322, 896, 684
1. What is the LCM of 917, 492, 322, 896, 684?
Answer: LCM of 917, 492, 322, 896, 684 is 18927232128.
2. How to calculate the LCM of 917, 492, 322, 896, 684?
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 917, 492, 322, 896, 684.
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}.