LCM of 437, 969, 924, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 969, 924, 144 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 437, 969, 924, 144. So, keep reading to learn more.
Given numbers are 437,969,924,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,969,924,144 is 82372752.
Find LCM of 437,969,924,144 with Prime Factorization
| 2 | 437, 969, 924, 144 |
| 2 | 437, 969, 462, 72 |
| 3 | 437, 969, 231, 36 |
| 19 | 437, 323, 77, 12 |
| 23, 17, 77, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 23 x 17 x 77 x 12 = 82372752
Therefore, the lowest common multiple of 437,969,924,144 is 82372752.
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.
437 x 969 x 924 x 144 = 56342962368
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.
437 : 1, 19, 23, 437
969 : 1, 3, 17, 19, 51, 57, 323, 969
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,969,924,144, is 1.
Now, the common factors can be found like this.
437:19x 23
969:3x 17x 19
924:2x 2x 3x 7x 11
144:2x 2x 2x 2x 3x 3
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 19 = 684
Therefore, the value for common factors is 684.
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 = 56342962368/(1x684)
LCM = 56342962368/684
LCM = 82372752
Thus, we can understand that the LCM of 437,969,924,144 is 82372752.
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FAQs on LCM of 437, 969, 924, 144
1. What is the LCM of 437, 969, 924, 144?
Answer: LCM of 437, 969, 924, 144 is 82372752.
2. How to calculate the LCM of 437, 969, 924, 144?
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 437, 969, 924, 144.
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}.