LCM of 420, 141, 424, 506, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 141, 424, 506, 791 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 420, 141, 424, 506, 791. So, keep reading to learn more.
Given numbers are 420,141,424,506,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,141,424,506,791 is 59820767160.
Find LCM of 420,141,424,506,791 with Prime Factorization
| 2 | 420, 141, 424, 506, 791 |
| 2 | 210, 141, 212, 253, 791 |
| 3 | 105, 141, 106, 253, 791 |
| 7 | 35, 47, 106, 253, 791 |
| 5, 47, 106, 253, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 5 x 47 x 106 x 253 x 113 = 59820767160
Therefore, the lowest common multiple of 420,141,424,506,791 is 59820767160.
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.
420 x 141 x 424 x 506 x 791 = 10049888882880
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.
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
141 : 1, 3, 47, 141
424 : 1, 2, 4, 8, 53, 106, 212, 424
506 : 1, 2, 11, 22, 23, 46, 253, 506
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,141,424,506,791, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
141:3x 47
424:2x 2x 2x 53
506:2x 11x 23
791:7x 113
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 10049888882880/(1x168)
LCM = 10049888882880/168
LCM = 59820767160
Thus, we can understand that the LCM of 420,141,424,506,791 is 59820767160.
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FAQs on LCM of 420, 141, 424, 506, 791
1. What is the LCM of 420, 141, 424, 506, 791?
Answer: LCM of 420, 141, 424, 506, 791 is 59820767160.
2. How to calculate the LCM of 420, 141, 424, 506, 791?
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 420, 141, 424, 506, 791.
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}.