LCM of 487, 968, 936, 899, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 968, 936, 899, 894 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 487, 968, 936, 899, 894. So, keep reading to learn more.
Given numbers are 487,968,936,899,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,968,936,899,894 is 7388157420072.
Find LCM of 487,968,936,899,894 with Prime Factorization
| 2 | 487, 968, 936, 899, 894 |
| 2 | 487, 484, 468, 899, 447 |
| 2 | 487, 242, 234, 899, 447 |
| 3 | 487, 121, 117, 899, 447 |
| 487, 121, 39, 899, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 487 x 121 x 39 x 899 x 149 = 7388157420072
Therefore, the lowest common multiple of 487,968,936,899,894 is 7388157420072.
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.
487 x 968 x 936 x 899 x 894 = 354631556163456
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.
487 : 1, 487
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
899 : 1, 29, 31, 899
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,968,936,899,894, is 1.
Now, the common factors can be found like this.
487:487
968:2x 2x 2x 11x 11
936:2x 2x 2x 3x 3x 13
899:29x 31
894:2x 3x 149
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 3 = 48
Therefore, the value for common factors is 48.
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 = 354631556163456/(1x48)
LCM = 354631556163456/48
LCM = 7388157420072
Thus, we can understand that the LCM of 487,968,936,899,894 is 7388157420072.
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FAQs on LCM of 487, 968, 936, 899, 894
1. What is the LCM of 487, 968, 936, 899, 894?
Answer: LCM of 487, 968, 936, 899, 894 is 7388157420072.
2. How to calculate the LCM of 487, 968, 936, 899, 894?
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 487, 968, 936, 899, 894.
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}.