LCM of 138, 506, 438, 576, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 506, 438, 576, 132 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 138, 506, 438, 576, 132. So, keep reading to learn more.
Given numbers are 138,506,438,576,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,506,438,576,132 is 10638144.
Find LCM of 138,506,438,576,132 with Prime Factorization
| 2 | 138, 506, 438, 576, 132 |
| 2 | 69, 253, 219, 288, 66 |
| 3 | 69, 253, 219, 144, 33 |
| 11 | 23, 253, 73, 48, 11 |
| 23 | 23, 23, 73, 48, 1 |
| 1, 1, 73, 48, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 1 x 1 x 73 x 48 x 1 = 10638144
Therefore, the lowest common multiple of 138,506,438,576,132 is 10638144.
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.
138 x 506 x 438 x 576 x 132 = 2325413173248
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
506 : 1, 2, 11, 22, 23, 46, 253, 506
438 : 1, 2, 3, 6, 73, 146, 219, 438
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,506,438,576,132, is 2.
Now, the common factors can be found like this.
138:2x 3x 23
506:2x 11x 23
438:2x 3x 73
576:2x 2x 2x 2x 2x 2x 3x 3
132:2x 2x 3x 11
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 2x 3x 3x 3x 11x 23 = 109296
Therefore, the value for common factors is 109296.
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 = 2325413173248/(2x109296)
LCM = 2325413173248/218592
LCM = 10638144
Thus, we can understand that the LCM of 138,506,438,576,132 is 10638144.
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FAQs on LCM of 138, 506, 438, 576, 132
1. What is the LCM of 138, 506, 438, 576, 132?
Answer: LCM of 138, 506, 438, 576, 132 is 10638144.
2. How to calculate the LCM of 138, 506, 438, 576, 132?
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 138, 506, 438, 576, 132.
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}.