LCM of 166, 764, 244, 689, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 764, 244, 689, 976 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 166, 764, 244, 689, 976. So, keep reading to learn more.
Given numbers are 166,764,244,689,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,764,244,689,976 is 10660571792.
Find LCM of 166,764,244,689,976 with Prime Factorization
| 2 | 166, 764, 244, 689, 976 |
| 2 | 83, 382, 122, 689, 488 |
| 61 | 83, 191, 61, 689, 244 |
| 83, 191, 1, 689, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 83 x 191 x 1 x 689 x 4 = 10660571792
Therefore, the lowest common multiple of 166,764,244,689,976 is 10660571792.
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.
166 x 764 x 244 x 689 x 976 = 20809436137984
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.
166 : 1, 2, 83, 166
764 : 1, 2, 4, 191, 382, 764
244 : 1, 2, 4, 61, 122, 244
689 : 1, 13, 53, 689
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,764,244,689,976, is 1.
Now, the common factors can be found like this.
166:2x 83
764:2x 2x 191
244:2x 2x 61
689:13x 53
976:2x 2x 2x 2x 61
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 2x 2x 61 = 1952
Therefore, the value for common factors is 1952.
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 = 20809436137984/(1x1952)
LCM = 20809436137984/1952
LCM = 10660571792
Thus, we can understand that the LCM of 166,764,244,689,976 is 10660571792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 166, 764, 244, 689, 976
1. What is the LCM of 166, 764, 244, 689, 976?
Answer: LCM of 166, 764, 244, 689, 976 is 10660571792.
2. How to calculate the LCM of 166, 764, 244, 689, 976?
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 166, 764, 244, 689, 976.
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}.