LCM of 913, 299, 207, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 299, 207, 118 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 913, 299, 207, 118. So, keep reading to learn more.
Given numbers are 913,299,207,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,299,207,118 is 289912194.
Find LCM of 913,299,207,118 with Prime Factorization
| 23 | 913, 299, 207, 118 |
| 913, 13, 9, 118 |
Multiply the prime numbers at the bottom and the left side.
23 x 913 x 13 x 9 x 118 = 289912194
Therefore, the lowest common multiple of 913,299,207,118 is 289912194.
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.
913 x 299 x 207 x 118 = 6667980462
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.
913 : 1, 11, 83, 913
299 : 1, 13, 23, 299
207 : 1, 3, 9, 23, 69, 207
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,299,207,118, is 1.
Now, the common factors can be found like this.
913:11x 83
299:13x 23
207:3x 3x 23
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 6667980462/(1x23)
LCM = 6667980462/23
LCM = 289912194
Thus, we can understand that the LCM of 913,299,207,118 is 289912194.
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FAQs on LCM of 913, 299, 207, 118
1. What is the LCM of 913, 299, 207, 118?
Answer: LCM of 913, 299, 207, 118 is 289912194.
2. How to calculate the LCM of 913, 299, 207, 118?
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 913, 299, 207, 118.
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}.