LCM of 937, 217, 482, 722, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 217, 482, 722, 899 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 937, 217, 482, 722, 899. So, keep reading to learn more.
Given numbers are 937,217,482,722,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,217,482,722,899 is 1026009927082.
Find LCM of 937,217,482,722,899 with Prime Factorization
| 2 | 937, 217, 482, 722, 899 |
| 31 | 937, 217, 241, 361, 899 |
| 937, 7, 241, 361, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 937 x 7 x 241 x 361 x 29 = 1026009927082
Therefore, the lowest common multiple of 937,217,482,722,899 is 1026009927082.
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.
937 x 217 x 482 x 722 x 899 = 63612615479084
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.
937 : 1, 937
217 : 1, 7, 31, 217
482 : 1, 2, 241, 482
722 : 1, 2, 19, 38, 361, 722
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,217,482,722,899, is 1.
Now, the common factors can be found like this.
937:937
217:7x 31
482:2x 241
722:2x 19x 19
899:29x 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 31 = 62
Therefore, the value for common factors is 62.
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 = 63612615479084/(1x62)
LCM = 63612615479084/62
LCM = 1026009927082
Thus, we can understand that the LCM of 937,217,482,722,899 is 1026009927082.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 937, 217, 482, 722, 899
1. What is the LCM of 937, 217, 482, 722, 899?
Answer: LCM of 937, 217, 482, 722, 899 is 1026009927082.
2. How to calculate the LCM of 937, 217, 482, 722, 899?
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 937, 217, 482, 722, 899.
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}.