LCM of 473, 231, 353, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 231, 353, 714 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, 231, 353, 714. So, keep reading to learn more.
Given numbers are 473,231,353,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,231,353,714 is 119215866.
Find LCM of 473,231,353,714 with Prime Factorization
| 3 | 473, 231, 353, 714 |
| 7 | 473, 77, 353, 238 |
| 11 | 473, 11, 353, 34 |
| 43, 1, 353, 34 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 43 x 1 x 353 x 34 = 119215866
Therefore, the lowest common multiple of 473,231,353,714 is 119215866.
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 231 x 353 x 714 = 27538865046
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
231 : 1, 3, 7, 11, 21, 33, 77, 231
353 : 1, 353
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,231,353,714, is 1.
Now, the common factors can be found like this.
473:11x 43
231:3x 7x 11
353:353
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 27538865046/(1x231)
LCM = 27538865046/231
LCM = 119215866
Thus, we can understand that the LCM of 473,231,353,714 is 119215866.
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FAQs on LCM of 473, 231, 353, 714
1. What is the LCM of 473, 231, 353, 714?
Answer: LCM of 473, 231, 353, 714 is 119215866.
2. How to calculate the LCM of 473, 231, 353, 714?
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, 231, 353, 714.
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}.