LCM of 103, 299, 539, 791, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 299, 539, 791, 869 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 103, 299, 539, 791, 869. So, keep reading to learn more.
Given numbers are 103,299,539,791,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,299,539,791,869 is 148184477441.
Find LCM of 103,299,539,791,869 with Prime Factorization
| 7 | 103, 299, 539, 791, 869 |
| 11 | 103, 299, 77, 113, 869 |
| 103, 299, 7, 113, 79 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 103 x 299 x 7 x 113 x 79 = 148184477441
Therefore, the lowest common multiple of 103,299,539,791,869 is 148184477441.
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.
103 x 299 x 539 x 791 x 869 = 11410204762957
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.
103 : 1, 103
299 : 1, 13, 23, 299
539 : 1, 7, 11, 49, 77, 539
791 : 1, 7, 113, 791
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,299,539,791,869, is 1.
Now, the common factors can be found like this.
103:103
299:13x 23
539:7x 7x 11
791:7x 113
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11 = 77
Therefore, the value for common factors is 77.
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 = 11410204762957/(1x77)
LCM = 11410204762957/77
LCM = 148184477441
Thus, we can understand that the LCM of 103,299,539,791,869 is 148184477441.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 299, 539, 791, 869
1. What is the LCM of 103, 299, 539, 791, 869?
Answer: LCM of 103, 299, 539, 791, 869 is 148184477441.
2. How to calculate the LCM of 103, 299, 539, 791, 869?
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 103, 299, 539, 791, 869.
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}.