LCM of 437, 483, 902, 760, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 483, 902, 760, 465 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 437, 483, 902, 760, 465. So, keep reading to learn more.
Given numbers are 437,483,902,760,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,483,902,760,465 is 5132145480.
Find LCM of 437,483,902,760,465 with Prime Factorization
| 2 | 437, 483, 902, 760, 465 |
| 3 | 437, 483, 451, 380, 465 |
| 5 | 437, 161, 451, 380, 155 |
| 19 | 437, 161, 451, 76, 31 |
| 23 | 23, 161, 451, 4, 31 |
| 1, 7, 451, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 23 x 1 x 7 x 451 x 4 x 31 = 5132145480
Therefore, the lowest common multiple of 437,483,902,760,465 is 5132145480.
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.
437 x 483 x 902 x 760 x 465 = 67282427242800
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.
437 : 1, 19, 23, 437
483 : 1, 3, 7, 21, 23, 69, 161, 483
902 : 1, 2, 11, 22, 41, 82, 451, 902
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,483,902,760,465, is 1.
Now, the common factors can be found like this.
437:19x 23
483:3x 7x 23
902:2x 11x 41
760:2x 2x 2x 5x 19
465:3x 5x 31
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 19x 23 = 13110
Therefore, the value for common factors is 13110.
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 = 67282427242800/(1x13110)
LCM = 67282427242800/13110
LCM = 5132145480
Thus, we can understand that the LCM of 437,483,902,760,465 is 5132145480.
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FAQs on LCM of 437, 483, 902, 760, 465
1. What is the LCM of 437, 483, 902, 760, 465?
Answer: LCM of 437, 483, 902, 760, 465 is 5132145480.
2. How to calculate the LCM of 437, 483, 902, 760, 465?
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 437, 483, 902, 760, 465.
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}.