LCM of 887, 820, 567, 865, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 820, 567, 865, 944 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 887, 820, 567, 865, 944. So, keep reading to learn more.
Given numbers are 887,820,567,865,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,820,567,865,944 is 16837539873840.
Find LCM of 887,820,567,865,944 with Prime Factorization
| 2 | 887, 820, 567, 865, 944 |
| 2 | 887, 410, 567, 865, 472 |
| 5 | 887, 205, 567, 865, 236 |
| 887, 41, 567, 173, 236 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 887 x 41 x 567 x 173 x 236 = 16837539873840
Therefore, the lowest common multiple of 887,820,567,865,944 is 16837539873840.
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.
887 x 820 x 567 x 865 x 944 = 336750797476800
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.
887 : 1, 887
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
865 : 1, 5, 173, 865
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,820,567,865,944, is 1.
Now, the common factors can be found like this.
887:887
820:2x 2x 5x 41
567:3x 3x 3x 3x 7
865:5x 173
944:2x 2x 2x 2x 59
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 5 = 20
Therefore, the value for common factors is 20.
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 = 336750797476800/(1x20)
LCM = 336750797476800/20
LCM = 16837539873840
Thus, we can understand that the LCM of 887,820,567,865,944 is 16837539873840.
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FAQs on LCM of 887, 820, 567, 865, 944
1. What is the LCM of 887, 820, 567, 865, 944?
Answer: LCM of 887, 820, 567, 865, 944 is 16837539873840.
2. How to calculate the LCM of 887, 820, 567, 865, 944?
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 887, 820, 567, 865, 944.
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}.