LCM of 475, 120, 420, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 120, 420, 321 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 475, 120, 420, 321. So, keep reading to learn more.
Given numbers are 475,120,420,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,120,420,321 is 8538600.
Find LCM of 475,120,420,321 with Prime Factorization
| 2 | 475, 120, 420, 321 |
| 2 | 475, 60, 210, 321 |
| 3 | 475, 30, 105, 321 |
| 5 | 475, 10, 35, 107 |
| 95, 2, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 95 x 2 x 7 x 107 = 8538600
Therefore, the lowest common multiple of 475,120,420,321 is 8538600.
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.
475 x 120 x 420 x 321 = 7684740000
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.
475 : 1, 5, 19, 25, 95, 475
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,120,420,321, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
120:2x 2x 2x 3x 5
420:2x 2x 3x 5x 7
321:3x 107
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 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 7684740000/(1x900)
LCM = 7684740000/900
LCM = 8538600
Thus, we can understand that the LCM of 475,120,420,321 is 8538600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 475, 120, 420, 321
1. What is the LCM of 475, 120, 420, 321?
Answer: LCM of 475, 120, 420, 321 is 8538600.
2. How to calculate the LCM of 475, 120, 420, 321?
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 475, 120, 420, 321.
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}.