LCM of 473, 407, 955, 595, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 407, 955, 595, 623 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, 407, 955, 595, 623. So, keep reading to learn more.
Given numbers are 473,407,955,595,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,407,955,595,623 is 177012201905.
Find LCM of 473,407,955,595,623 with Prime Factorization
| 5 | 473, 407, 955, 595, 623 |
| 7 | 473, 407, 191, 119, 623 |
| 11 | 473, 407, 191, 17, 89 |
| 43, 37, 191, 17, 89 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 43 x 37 x 191 x 17 x 89 = 177012201905
Therefore, the lowest common multiple of 473,407,955,595,623 is 177012201905.
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 407 x 955 x 595 x 623 = 68149697733425
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
407 : 1, 11, 37, 407
955 : 1, 5, 191, 955
595 : 1, 5, 7, 17, 35, 85, 119, 595
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,407,955,595,623, is 1.
Now, the common factors can be found like this.
473:11x 43
407:11x 37
955:5x 191
595:5x 7x 17
623:7x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11 = 385
Therefore, the value for common factors is 385.
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 = 68149697733425/(1x385)
LCM = 68149697733425/385
LCM = 177012201905
Thus, we can understand that the LCM of 473,407,955,595,623 is 177012201905.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 473, 407, 955, 595, 623
1. What is the LCM of 473, 407, 955, 595, 623?
Answer: LCM of 473, 407, 955, 595, 623 is 177012201905.
2. How to calculate the LCM of 473, 407, 955, 595, 623?
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, 407, 955, 595, 623.
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}.