LCM of 620, 349, 450, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 349, 450, 648 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 620, 349, 450, 648. So, keep reading to learn more.
Given numbers are 620,349,450,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,349,450,648 is 175267800.
Find LCM of 620,349,450,648 with Prime Factorization
| 2 | 620, 349, 450, 648 |
| 2 | 310, 349, 225, 324 |
| 3 | 155, 349, 225, 162 |
| 3 | 155, 349, 75, 54 |
| 5 | 155, 349, 25, 18 |
| 31, 349, 5, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 31 x 349 x 5 x 18 = 175267800
Therefore, the lowest common multiple of 620,349,450,648 is 175267800.
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.
620 x 349 x 450 x 648 = 63096408000
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
349 : 1, 349
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,349,450,648, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
349:349
450:2x 3x 3x 5x 5
648:2x 2x 2x 3x 3x 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 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 63096408000/(1x360)
LCM = 63096408000/360
LCM = 175267800
Thus, we can understand that the LCM of 620,349,450,648 is 175267800.
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FAQs on LCM of 620, 349, 450, 648
1. What is the LCM of 620, 349, 450, 648?
Answer: LCM of 620, 349, 450, 648 is 175267800.
2. How to calculate the LCM of 620, 349, 450, 648?
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 620, 349, 450, 648.
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}.