LCM of 620, 960, 475, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 960, 475, 312 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, 960, 475, 312. So, keep reading to learn more.
Given numbers are 620,960,475,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,960,475,312 is 36753600.
Find LCM of 620,960,475,312 with Prime Factorization
| 2 | 620, 960, 475, 312 |
| 2 | 310, 480, 475, 156 |
| 2 | 155, 240, 475, 78 |
| 3 | 155, 120, 475, 39 |
| 5 | 155, 40, 475, 13 |
| 31, 8, 95, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 31 x 8 x 95 x 13 = 36753600
Therefore, the lowest common multiple of 620,960,475,312 is 36753600.
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 960 x 475 x 312 = 88208640000
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
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
475 : 1, 5, 19, 25, 95, 475
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,960,475,312, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
960:2x 2x 2x 2x 2x 2x 3x 5
475:5x 5x 19
312:2x 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 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 88208640000/(1x2400)
LCM = 88208640000/2400
LCM = 36753600
Thus, we can understand that the LCM of 620,960,475,312 is 36753600.
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FAQs on LCM of 620, 960, 475, 312
1. What is the LCM of 620, 960, 475, 312?
Answer: LCM of 620, 960, 475, 312 is 36753600.
2. How to calculate the LCM of 620, 960, 475, 312?
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, 960, 475, 312.
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}.