LCM of 737, 869, 491, 113, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 869, 491, 113, 982 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 737, 869, 491, 113, 982. So, keep reading to learn more.
Given numbers are 737,869,491,113,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,869,491,113,982 is 6460773418.
Find LCM of 737,869,491,113,982 with Prime Factorization
| 11 | 737, 869, 491, 113, 982 |
| 491 | 67, 79, 491, 113, 982 |
| 67, 79, 1, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 491 x 67 x 79 x 1 x 113 x 2 = 6460773418
Therefore, the lowest common multiple of 737,869,491,113,982 is 6460773418.
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.
737 x 869 x 491 x 113 x 982 = 34894637230618
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.
737 : 1, 11, 67, 737
869 : 1, 11, 79, 869
491 : 1, 491
113 : 1, 113
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,869,491,113,982, is 1.
Now, the common factors can be found like this.
737:11x 67
869:11x 79
491:491
113:113
982:2x 491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 491 = 5401
Therefore, the value for common factors is 5401.
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 = 34894637230618/(1x5401)
LCM = 34894637230618/5401
LCM = 6460773418
Thus, we can understand that the LCM of 737,869,491,113,982 is 6460773418.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 869, 491, 113, 982
1. What is the LCM of 737, 869, 491, 113, 982?
Answer: LCM of 737, 869, 491, 113, 982 is 6460773418.
2. How to calculate the LCM of 737, 869, 491, 113, 982?
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 737, 869, 491, 113, 982.
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}.