LCM of 657, 451, 574, 902, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 451, 574, 902, 406 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 657, 451, 574, 902, 406. So, keep reading to learn more.
Given numbers are 657,451,574,902,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,451,574,902,406 is 120300642.
Find LCM of 657,451,574,902,406 with Prime Factorization
| 2 | 657, 451, 574, 902, 406 |
| 7 | 657, 451, 287, 451, 203 |
| 11 | 657, 451, 41, 451, 29 |
| 41 | 657, 41, 41, 41, 29 |
| 657, 1, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 41 x 657 x 1 x 1 x 1 x 29 = 120300642
Therefore, the lowest common multiple of 657,451,574,902,406 is 120300642.
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.
657 x 451 x 574 x 902 x 406 = 62285416794216
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.
657 : 1, 3, 9, 73, 219, 657
451 : 1, 11, 41, 451
574 : 1, 2, 7, 14, 41, 82, 287, 574
902 : 1, 2, 11, 22, 41, 82, 451, 902
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,451,574,902,406, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
451:11x 41
574:2x 7x 41
902:2x 11x 41
406:2x 7x 29
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 7x 11x 41x 41 = 517748
Therefore, the value for common factors is 517748.
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 = 62285416794216/(1x517748)
LCM = 62285416794216/517748
LCM = 120300642
Thus, we can understand that the LCM of 657,451,574,902,406 is 120300642.
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FAQs on LCM of 657, 451, 574, 902, 406
1. What is the LCM of 657, 451, 574, 902, 406?
Answer: LCM of 657, 451, 574, 902, 406 is 120300642.
2. How to calculate the LCM of 657, 451, 574, 902, 406?
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 657, 451, 574, 902, 406.
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}.