LCM of 480, 125, 594, 950, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 125, 594, 950, 475 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 480, 125, 594, 950, 475. So, keep reading to learn more.
Given numbers are 480,125,594,950,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,125,594,950,475 is 22572000.
Find LCM of 480,125,594,950,475 with Prime Factorization
| 2 | 480, 125, 594, 950, 475 |
| 3 | 240, 125, 297, 475, 475 |
| 5 | 80, 125, 99, 475, 475 |
| 5 | 16, 25, 99, 95, 95 |
| 19 | 16, 5, 99, 19, 19 |
| 16, 5, 99, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 19 x 16 x 5 x 99 x 1 x 1 = 22572000
Therefore, the lowest common multiple of 480,125,594,950,475 is 22572000.
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.
480 x 125 x 594 x 950 x 475 = 16082550000000
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
125 : 1, 5, 25, 125
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,125,594,950,475, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
125:5x 5x 5
594:2x 3x 3x 3x 11
950:2x 5x 5x 19
475:5x 5x 19
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 5x 5x 5x 5x 5x 19 = 712500
Therefore, the value for common factors is 712500.
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 = 16082550000000/(1x712500)
LCM = 16082550000000/712500
LCM = 22572000
Thus, we can understand that the LCM of 480,125,594,950,475 is 22572000.
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FAQs on LCM of 480, 125, 594, 950, 475
1. What is the LCM of 480, 125, 594, 950, 475?
Answer: LCM of 480, 125, 594, 950, 475 is 22572000.
2. How to calculate the LCM of 480, 125, 594, 950, 475?
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 480, 125, 594, 950, 475.
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}.