LCM of 573, 480, 171, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 480, 171, 840 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 573, 480, 171, 840. So, keep reading to learn more.
Given numbers are 573,480,171,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,480,171,840 is 36580320.
Find LCM of 573,480,171,840 with Prime Factorization
| 2 | 573, 480, 171, 840 |
| 2 | 573, 240, 171, 420 |
| 2 | 573, 120, 171, 210 |
| 3 | 573, 60, 171, 105 |
| 5 | 191, 20, 57, 35 |
| 191, 4, 57, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 191 x 4 x 57 x 7 = 36580320
Therefore, the lowest common multiple of 573,480,171,840 is 36580320.
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.
573 x 480 x 171 x 840 = 39506745600
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.
573 : 1, 3, 191, 573
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
171 : 1, 3, 9, 19, 57, 171
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,480,171,840, is 3.
Now, the common factors can be found like this.
573:3x 191
480:2x 2x 2x 2x 2x 3x 5
171:3x 3x 19
840:2x 2x 2x 3x 5x 7
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 = 39506745600/(3x360)
LCM = 39506745600/1080
LCM = 36580320
Thus, we can understand that the LCM of 573,480,171,840 is 36580320.
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FAQs on LCM of 573, 480, 171, 840
1. What is the LCM of 573, 480, 171, 840?
Answer: LCM of 573, 480, 171, 840 is 36580320.
2. How to calculate the LCM of 573, 480, 171, 840?
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 573, 480, 171, 840.
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}.