LCM of 773, 717, 956, 174, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 717, 956, 174, 458 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 773, 717, 956, 174, 458. So, keep reading to learn more.
Given numbers are 773,717,956,174,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,717,956,174,458 is 14722857924.
Find LCM of 773,717,956,174,458 with Prime Factorization
| 2 | 773, 717, 956, 174, 458 |
| 3 | 773, 717, 478, 87, 229 |
| 239 | 773, 239, 478, 29, 229 |
| 773, 1, 2, 29, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 773 x 1 x 2 x 29 x 229 = 14722857924
Therefore, the lowest common multiple of 773,717,956,174,458 is 14722857924.
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.
773 x 717 x 956 x 174 x 458 = 42225156526032
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.
773 : 1, 773
717 : 1, 3, 239, 717
956 : 1, 2, 4, 239, 478, 956
174 : 1, 2, 3, 6, 29, 58, 87, 174
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,717,956,174,458, is 1.
Now, the common factors can be found like this.
773:773
717:3x 239
956:2x 2x 239
174:2x 3x 29
458:2x 229
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 239 = 2868
Therefore, the value for common factors is 2868.
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 = 42225156526032/(1x2868)
LCM = 42225156526032/2868
LCM = 14722857924
Thus, we can understand that the LCM of 773,717,956,174,458 is 14722857924.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 717, 956, 174, 458
1. What is the LCM of 773, 717, 956, 174, 458?
Answer: LCM of 773, 717, 956, 174, 458 is 14722857924.
2. How to calculate the LCM of 773, 717, 956, 174, 458?
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 773, 717, 956, 174, 458.
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}.