LCM of 451, 309, 754, 174, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 309, 754, 174, 902 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 451, 309, 754, 174, 902. So, keep reading to learn more.
Given numbers are 451,309,754,174,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,309,754,174,902 is 105076686.
Find LCM of 451,309,754,174,902 with Prime Factorization
| 2 | 451, 309, 754, 174, 902 |
| 3 | 451, 309, 377, 87, 451 |
| 11 | 451, 103, 377, 29, 451 |
| 29 | 41, 103, 377, 29, 41 |
| 41 | 41, 103, 13, 1, 41 |
| 1, 103, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 41 x 1 x 103 x 13 x 1 x 1 = 105076686
Therefore, the lowest common multiple of 451,309,754,174,902 is 105076686.
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.
451 x 309 x 754 x 174 x 902 = 16491575714328
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.
451 : 1, 11, 41, 451
309 : 1, 3, 103, 309
754 : 1, 2, 13, 26, 29, 58, 377, 754
174 : 1, 2, 3, 6, 29, 58, 87, 174
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,309,754,174,902, is 1.
Now, the common factors can be found like this.
451:11x 41
309:3x 103
754:2x 13x 29
174:2x 3x 29
902:2x 11x 41
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 3x 11x 29x 41 = 156948
Therefore, the value for common factors is 156948.
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 = 16491575714328/(1x156948)
LCM = 16491575714328/156948
LCM = 105076686
Thus, we can understand that the LCM of 451,309,754,174,902 is 105076686.
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FAQs on LCM of 451, 309, 754, 174, 902
1. What is the LCM of 451, 309, 754, 174, 902?
Answer: LCM of 451, 309, 754, 174, 902 is 105076686.
2. How to calculate the LCM of 451, 309, 754, 174, 902?
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 451, 309, 754, 174, 902.
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}.