LCM of 479, 958, 906, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 958, 906, 210 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 479, 958, 906, 210. So, keep reading to learn more.
Given numbers are 479,958,906,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,958,906,210 is 15189090.
Find LCM of 479,958,906,210 with Prime Factorization
| 2 | 479, 958, 906, 210 |
| 3 | 479, 479, 453, 105 |
| 479 | 479, 479, 151, 35 |
| 1, 1, 151, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 479 x 1 x 1 x 151 x 35 = 15189090
Therefore, the lowest common multiple of 479,958,906,210 is 15189090.
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.
479 x 958 x 906 x 210 = 87306889320
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.
479 : 1, 479
958 : 1, 2, 479, 958
906 : 1, 2, 3, 6, 151, 302, 453, 906
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,958,906,210, is 1.
Now, the common factors can be found like this.
479:479
958:2x 479
906:2x 3x 151
210:2x 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 3x 479 = 5748
Therefore, the value for common factors is 5748.
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 = 87306889320/(1x5748)
LCM = 87306889320/5748
LCM = 15189090
Thus, we can understand that the LCM of 479,958,906,210 is 15189090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 958, 906, 210
1. What is the LCM of 479, 958, 906, 210?
Answer: LCM of 479, 958, 906, 210 is 15189090.
2. How to calculate the LCM of 479, 958, 906, 210?
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 479, 958, 906, 210.
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}.