LCM of 367, 420, 972, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 420, 972, 966 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 367, 420, 972, 966. So, keep reading to learn more.
Given numbers are 367,420,972,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,420,972,966 is 287162820.
Find LCM of 367,420,972,966 with Prime Factorization
| 2 | 367, 420, 972, 966 |
| 2 | 367, 210, 486, 483 |
| 3 | 367, 105, 243, 483 |
| 7 | 367, 35, 81, 161 |
| 367, 5, 81, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 367 x 5 x 81 x 23 = 287162820
Therefore, the lowest common multiple of 367,420,972,966 is 287162820.
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.
367 x 420 x 972 x 966 = 144730061280
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.
367 : 1, 367
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,420,972,966, is 1.
Now, the common factors can be found like this.
367:367
420:2x 2x 3x 5x 7
972:2x 2x 3x 3x 3x 3x 3
966:2x 3x 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 2x 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 144730061280/(1x504)
LCM = 144730061280/504
LCM = 287162820
Thus, we can understand that the LCM of 367,420,972,966 is 287162820.
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FAQs on LCM of 367, 420, 972, 966
1. What is the LCM of 367, 420, 972, 966?
Answer: LCM of 367, 420, 972, 966 is 287162820.
2. How to calculate the LCM of 367, 420, 972, 966?
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 367, 420, 972, 966.
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}.