LCM of 121, 420, 791, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 121, 420, 791, 644 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 121, 420, 791, 644. So, keep reading to learn more.
Given numbers are 121,420,791,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,420,791,644 is 132081180.
Find LCM of 121,420,791,644 with Prime Factorization
| 2 | 121, 420, 791, 644 |
| 2 | 121, 210, 791, 322 |
| 7 | 121, 105, 791, 161 |
| 121, 15, 113, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 121 x 15 x 113 x 23 = 132081180
Therefore, the lowest common multiple of 121,420,791,644 is 132081180.
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.
121 x 420 x 791 x 644 = 25887911280
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.
121 : 1, 11, 121
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
791 : 1, 7, 113, 791
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,420,791,644, is 1.
Now, the common factors can be found like this.
121:11x 11
420:2x 2x 3x 5x 7
791:7x 113
644:2x 2x 7x 23
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 25887911280/(1x196)
LCM = 25887911280/196
LCM = 132081180
Thus, we can understand that the LCM of 121,420,791,644 is 132081180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 121, 420, 791, 644
1. What is the LCM of 121, 420, 791, 644?
Answer: LCM of 121, 420, 791, 644 is 132081180.
2. How to calculate the LCM of 121, 420, 791, 644?
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 121, 420, 791, 644.
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}.