LCM of 992, 450, 432, 619, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 450, 432, 619, 606 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 992, 450, 432, 619, 606. So, keep reading to learn more.
Given numbers are 992,450,432,619,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,450,432,619,606 is 41862722400.
Find LCM of 992,450,432,619,606 with Prime Factorization
| 2 | 992, 450, 432, 619, 606 |
| 2 | 496, 225, 216, 619, 303 |
| 2 | 248, 225, 108, 619, 303 |
| 2 | 124, 225, 54, 619, 303 |
| 3 | 62, 225, 27, 619, 303 |
| 3 | 62, 75, 9, 619, 101 |
| 62, 25, 3, 619, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 62 x 25 x 3 x 619 x 101 = 41862722400
Therefore, the lowest common multiple of 992,450,432,619,606 is 41862722400.
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.
992 x 450 x 432 x 619 x 606 = 72338784307200
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
619 : 1, 619
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,450,432,619,606, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
450:2x 3x 3x 5x 5
432:2x 2x 2x 2x 3x 3x 3
619:619
606:2x 3x 101
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 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 72338784307200/(1x1728)
LCM = 72338784307200/1728
LCM = 41862722400
Thus, we can understand that the LCM of 992,450,432,619,606 is 41862722400.
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FAQs on LCM of 992, 450, 432, 619, 606
1. What is the LCM of 992, 450, 432, 619, 606?
Answer: LCM of 992, 450, 432, 619, 606 is 41862722400.
2. How to calculate the LCM of 992, 450, 432, 619, 606?
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 992, 450, 432, 619, 606.
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}.