LCM of 440, 167, 946, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 167, 946, 121 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 440, 167, 946, 121. So, keep reading to learn more.
Given numbers are 440,167,946,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,167,946,121 is 34756040.
Find LCM of 440,167,946,121 with Prime Factorization
| 2 | 440, 167, 946, 121 |
| 11 | 220, 167, 473, 121 |
| 20, 167, 43, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 20 x 167 x 43 x 11 = 34756040
Therefore, the lowest common multiple of 440,167,946,121 is 34756040.
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.
440 x 167 x 946 x 121 = 8410961680
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
167 : 1, 167
946 : 1, 2, 11, 22, 43, 86, 473, 946
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,167,946,121, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
167:167
946:2x 11x 43
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 8410961680/(1x242)
LCM = 8410961680/242
LCM = 34756040
Thus, we can understand that the LCM of 440,167,946,121 is 34756040.
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FAQs on LCM of 440, 167, 946, 121
1. What is the LCM of 440, 167, 946, 121?
Answer: LCM of 440, 167, 946, 121 is 34756040.
2. How to calculate the LCM of 440, 167, 946, 121?
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 440, 167, 946, 121.
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}.