LCM of 731, 473, 555, 648, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 473, 555, 648, 470 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 731, 473, 555, 648, 470. So, keep reading to learn more.
Given numbers are 731,473,555,648,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,473,555,648,470 is 45305888760.
Find LCM of 731,473,555,648,470 with Prime Factorization
| 2 | 731, 473, 555, 648, 470 |
| 3 | 731, 473, 555, 324, 235 |
| 5 | 731, 473, 185, 108, 235 |
| 43 | 731, 473, 37, 108, 47 |
| 17, 11, 37, 108, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 17 x 11 x 37 x 108 x 47 = 45305888760
Therefore, the lowest common multiple of 731,473,555,648,470 is 45305888760.
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.
731 x 473 x 555 x 648 x 470 = 58444596500400
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.
731 : 1, 17, 43, 731
473 : 1, 11, 43, 473
555 : 1, 3, 5, 15, 37, 111, 185, 555
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,473,555,648,470, is 1.
Now, the common factors can be found like this.
731:17x 43
473:11x 43
555:3x 5x 37
648:2x 2x 2x 3x 3x 3x 3
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 43 = 1290
Therefore, the value for common factors is 1290.
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 = 58444596500400/(1x1290)
LCM = 58444596500400/1290
LCM = 45305888760
Thus, we can understand that the LCM of 731,473,555,648,470 is 45305888760.
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FAQs on LCM of 731, 473, 555, 648, 470
1. What is the LCM of 731, 473, 555, 648, 470?
Answer: LCM of 731, 473, 555, 648, 470 is 45305888760.
2. How to calculate the LCM of 731, 473, 555, 648, 470?
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 731, 473, 555, 648, 470.
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}.