LCM of 606, 592, 900, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 592, 900, 624 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 606, 592, 900, 624. So, keep reading to learn more.
Given numbers are 606,592,900,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,592,900,624 is 174891600.
Find LCM of 606,592,900,624 with Prime Factorization
| 2 | 606, 592, 900, 624 |
| 2 | 303, 296, 450, 312 |
| 2 | 303, 148, 225, 156 |
| 2 | 303, 74, 225, 78 |
| 3 | 303, 37, 225, 39 |
| 101, 37, 75, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 101 x 37 x 75 x 13 = 174891600
Therefore, the lowest common multiple of 606,592,900,624 is 174891600.
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.
606 x 592 x 900 x 624 = 201475123200
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,592,900,624, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
592:2x 2x 2x 2x 37
900:2x 2x 3x 3x 5x 5
624:2x 2x 2x 2x 3x 13
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 3 = 576
Therefore, the value for common factors is 576.
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 = 201475123200/(2x576)
LCM = 201475123200/1152
LCM = 174891600
Thus, we can understand that the LCM of 606,592,900,624 is 174891600.
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FAQs on LCM of 606, 592, 900, 624
1. What is the LCM of 606, 592, 900, 624?
Answer: LCM of 606, 592, 900, 624 is 174891600.
2. How to calculate the LCM of 606, 592, 900, 624?
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 606, 592, 900, 624.
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}.