LCM of 420, 861, 505, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 861, 505, 732 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, 861, 505, 732. So, keep reading to learn more.
Given numbers are 420,861,505,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,861,505,732 is 106092420.
Find LCM of 420,861,505,732 with Prime Factorization
| 2 | 420, 861, 505, 732 |
| 2 | 210, 861, 505, 366 |
| 3 | 105, 861, 505, 183 |
| 5 | 35, 287, 505, 61 |
| 7 | 7, 287, 101, 61 |
| 1, 41, 101, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 41 x 101 x 61 = 106092420
Therefore, the lowest common multiple of 420,861,505,732 is 106092420.
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 861 x 505 x 732 = 133676449200
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
505 : 1, 5, 101, 505
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,861,505,732, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
861:3x 7x 41
505:5x 101
732:2x 2x 3x 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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 133676449200/(1x1260)
LCM = 133676449200/1260
LCM = 106092420
Thus, we can understand that the LCM of 420,861,505,732 is 106092420.
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FAQs on LCM of 420, 861, 505, 732
1. What is the LCM of 420, 861, 505, 732?
Answer: LCM of 420, 861, 505, 732 is 106092420.
2. How to calculate the LCM of 420, 861, 505, 732?
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, 861, 505, 732.
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}.