LCM of 791, 916, 458, 350, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 916, 458, 350, 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 791, 916, 458, 350, 174. So, keep reading to learn more.
Given numbers are 791,916,458,350,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,916,458,350,174 is 1575909300.
Find LCM of 791,916,458,350,174 with Prime Factorization
| 2 | 791, 916, 458, 350, 174 |
| 7 | 791, 458, 229, 175, 87 |
| 229 | 113, 458, 229, 25, 87 |
| 113, 2, 1, 25, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 229 x 113 x 2 x 1 x 25 x 87 = 1575909300
Therefore, the lowest common multiple of 791,916,458,350,174 is 1575909300.
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.
791 x 916 x 458 x 350 x 174 = 20209460863200
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.
791 : 1, 7, 113, 791
916 : 1, 2, 4, 229, 458, 916
458 : 1, 2, 229, 458
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
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 791,916,458,350,174, is 1.
Now, the common factors can be found like this.
791:7x 113
916:2x 2x 229
458:2x 229
350:2x 5x 5x 7
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 2x 7x 229 = 12824
Therefore, the value for common factors is 12824.
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 = 20209460863200/(1x12824)
LCM = 20209460863200/12824
LCM = 1575909300
Thus, we can understand that the LCM of 791,916,458,350,174 is 1575909300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 791, 916, 458, 350, 174
1. What is the LCM of 791, 916, 458, 350, 174?
Answer: LCM of 791, 916, 458, 350, 174 is 1575909300.
2. How to calculate the LCM of 791, 916, 458, 350, 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 791, 916, 458, 350, 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}.