LCM of 473, 214, 138, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 214, 138, 390 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 473, 214, 138, 390. So, keep reading to learn more.
Given numbers are 473,214,138,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,214,138,390 is 453980670.
Find LCM of 473,214,138,390 with Prime Factorization
| 2 | 473, 214, 138, 390 |
| 3 | 473, 107, 69, 195 |
| 473, 107, 23, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 473 x 107 x 23 x 65 = 453980670
Therefore, the lowest common multiple of 473,214,138,390 is 453980670.
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.
473 x 214 x 138 x 390 = 5447768040
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.
473 : 1, 11, 43, 473
214 : 1, 2, 107, 214
138 : 1, 2, 3, 6, 23, 46, 69, 138
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,214,138,390, is 1.
Now, the common factors can be found like this.
473:11x 43
214:2x 107
138:2x 3x 23
390:2x 3x 5x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 5447768040/(1x12)
LCM = 5447768040/12
LCM = 453980670
Thus, we can understand that the LCM of 473,214,138,390 is 453980670.
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FAQs on LCM of 473, 214, 138, 390
1. What is the LCM of 473, 214, 138, 390?
Answer: LCM of 473, 214, 138, 390 is 453980670.
2. How to calculate the LCM of 473, 214, 138, 390?
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 473, 214, 138, 390.
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}.