LCM of 946, 299, 913, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 299, 913, 103 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 946, 299, 913, 103. So, keep reading to learn more.
Given numbers are 946,299,913,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,299,913,103 is 2418118846.
Find LCM of 946,299,913,103 with Prime Factorization
| 11 | 946, 299, 913, 103 |
| 86, 299, 83, 103 |
Multiply the prime numbers at the bottom and the left side.
11 x 86 x 299 x 83 x 103 = 2418118846
Therefore, the lowest common multiple of 946,299,913,103 is 2418118846.
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.
946 x 299 x 913 x 103 = 26599307306
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
299 : 1, 13, 23, 299
913 : 1, 11, 83, 913
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,299,913,103, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
299:13x 23
913:11x 83
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 26599307306/(1x11)
LCM = 26599307306/11
LCM = 2418118846
Thus, we can understand that the LCM of 946,299,913,103 is 2418118846.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 946, 299, 913, 103
1. What is the LCM of 946, 299, 913, 103?
Answer: LCM of 946, 299, 913, 103 is 2418118846.
2. How to calculate the LCM of 946, 299, 913, 103?
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 946, 299, 913, 103.
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}.