LCM of 913, 594, 826, 257, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 594, 826, 257, 174 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, 594, 826, 257, 174. So, keep reading to learn more.
Given numbers are 913,594,826,257,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,594,826,257,174 is 151755943878.
Find LCM of 913,594,826,257,174 with Prime Factorization
| 2 | 913, 594, 826, 257, 174 |
| 3 | 913, 297, 413, 257, 87 |
| 11 | 913, 99, 413, 257, 29 |
| 83, 9, 413, 257, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 83 x 9 x 413 x 257 x 29 = 151755943878
Therefore, the lowest common multiple of 913,594,826,257,174 is 151755943878.
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 594 x 826 x 257 x 174 = 20031784591896
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
826 : 1, 2, 7, 14, 59, 118, 413, 826
257 : 1, 257
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,594,826,257,174, is 1.
Now, the common factors can be found like this.
913:11x 83
594:2x 3x 3x 3x 11
826:2x 7x 59
257:257
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 20031784591896/(1x132)
LCM = 20031784591896/132
LCM = 151755943878
Thus, we can understand that the LCM of 913,594,826,257,174 is 151755943878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 594, 826, 257, 174
1. What is the LCM of 913, 594, 826, 257, 174?
Answer: LCM of 913, 594, 826, 257, 174 is 151755943878.
2. How to calculate the LCM of 913, 594, 826, 257, 174?
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, 594, 826, 257, 174.
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}.