LCM of 894, 433, 837, 990, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 433, 837, 990, 942 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 894, 433, 837, 990, 942. So, keep reading to learn more.
Given numbers are 894,433,837,990,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,433,837,990,942 is 932592589830.
Find LCM of 894,433,837,990,942 with Prime Factorization
| 2 | 894, 433, 837, 990, 942 |
| 3 | 447, 433, 837, 495, 471 |
| 3 | 149, 433, 279, 165, 157 |
| 149, 433, 93, 55, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 149 x 433 x 93 x 55 x 157 = 932592589830
Therefore, the lowest common multiple of 894,433,837,990,942 is 932592589830.
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.
894 x 433 x 837 x 990 x 942 = 302159999104920
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
433 : 1, 433
837 : 1, 3, 9, 27, 31, 93, 279, 837
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,433,837,990,942, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
433:433
837:3x 3x 3x 31
990:2x 3x 3x 5x 11
942:2x 3x 157
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 302159999104920/(1x324)
LCM = 302159999104920/324
LCM = 932592589830
Thus, we can understand that the LCM of 894,433,837,990,942 is 932592589830.
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FAQs on LCM of 894, 433, 837, 990, 942
1. What is the LCM of 894, 433, 837, 990, 942?
Answer: LCM of 894, 433, 837, 990, 942 is 932592589830.
2. How to calculate the LCM of 894, 433, 837, 990, 942?
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 894, 433, 837, 990, 942.
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}.