LCM of 116, 753, 661, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 753, 661, 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 116, 753, 661, 174. So, keep reading to learn more.
Given numbers are 116,753,661,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,753,661,174 is 57737028.
Find LCM of 116,753,661,174 with Prime Factorization
| 2 | 116, 753, 661, 174 |
| 3 | 58, 753, 661, 87 |
| 29 | 58, 251, 661, 29 |
| 2, 251, 661, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 2 x 251 x 661 x 1 = 57737028
Therefore, the lowest common multiple of 116,753,661,174 is 57737028.
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.
116 x 753 x 661 x 174 = 10046242872
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.
116 : 1, 2, 4, 29, 58, 116
753 : 1, 3, 251, 753
661 : 1, 661
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 116,753,661,174, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
753:3x 251
661:661
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 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 10046242872/(1x174)
LCM = 10046242872/174
LCM = 57737028
Thus, we can understand that the LCM of 116,753,661,174 is 57737028.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 753, 661, 174
1. What is the LCM of 116, 753, 661, 174?
Answer: LCM of 116, 753, 661, 174 is 57737028.
2. How to calculate the LCM of 116, 753, 661, 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 116, 753, 661, 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}.