LCM of 894, 837, 955, 721, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 837, 955, 721, 868 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, 837, 955, 721, 868. So, keep reading to learn more.
Given numbers are 894,837,955,721,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,837,955,721,868 is 343487038860.
Find LCM of 894,837,955,721,868 with Prime Factorization
| 2 | 894, 837, 955, 721, 868 |
| 3 | 447, 837, 955, 721, 434 |
| 7 | 149, 279, 955, 721, 434 |
| 31 | 149, 279, 955, 103, 62 |
| 149, 9, 955, 103, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 149 x 9 x 955 x 103 x 2 = 343487038860
Therefore, the lowest common multiple of 894,837,955,721,868 is 343487038860.
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 837 x 955 x 721 x 868 = 447220124595720
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
837 : 1, 3, 9, 27, 31, 93, 279, 837
955 : 1, 5, 191, 955
721 : 1, 7, 103, 721
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,837,955,721,868, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
837:3x 3x 3x 31
955:5x 191
721:7x 103
868:2x 2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 31 = 1302
Therefore, the value for common factors is 1302.
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 = 447220124595720/(1x1302)
LCM = 447220124595720/1302
LCM = 343487038860
Thus, we can understand that the LCM of 894,837,955,721,868 is 343487038860.
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FAQs on LCM of 894, 837, 955, 721, 868
1. What is the LCM of 894, 837, 955, 721, 868?
Answer: LCM of 894, 837, 955, 721, 868 is 343487038860.
2. How to calculate the LCM of 894, 837, 955, 721, 868?
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, 837, 955, 721, 868.
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}.