LCM of 432, 378, 990, 619
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 378, 990, 619 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 432, 378, 990, 619. So, keep reading to learn more.
Given numbers are 432,378,990,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,378,990,619 is 102952080.
Find LCM of 432,378,990,619 with Prime Factorization
| 2 | 432, 378, 990, 619 |
| 3 | 216, 189, 495, 619 |
| 3 | 72, 63, 165, 619 |
| 3 | 24, 21, 55, 619 |
| 8, 7, 55, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 8 x 7 x 55 x 619 = 102952080
Therefore, the lowest common multiple of 432,378,990,619 is 102952080.
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.
432 x 378 x 990 x 619 = 100069421760
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,378,990,619, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
378:2x 3x 3x 3x 7
990:2x 3x 3x 5x 11
619:619
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 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 100069421760/(1x972)
LCM = 100069421760/972
LCM = 102952080
Thus, we can understand that the LCM of 432,378,990,619 is 102952080.
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FAQs on LCM of 432, 378, 990, 619
1. What is the LCM of 432, 378, 990, 619?
Answer: LCM of 432, 378, 990, 619 is 102952080.
2. How to calculate the LCM of 432, 378, 990, 619?
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 432, 378, 990, 619.
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}.