LCM of 433, 735, 654, 753, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 735, 654, 753, 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 433, 735, 654, 753, 465. So, keep reading to learn more.
Given numbers are 433,735,654,753,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,735,654,753,465 is 539842589790.
Find LCM of 433,735,654,753,465 with Prime Factorization
| 3 | 433, 735, 654, 753, 465 |
| 5 | 433, 245, 218, 251, 155 |
| 433, 49, 218, 251, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 433 x 49 x 218 x 251 x 31 = 539842589790
Therefore, the lowest common multiple of 433,735,654,753,465 is 539842589790.
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.
433 x 735 x 654 x 753 x 465 = 72878749621650
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.
433 : 1, 433
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
654 : 1, 2, 3, 6, 109, 218, 327, 654
753 : 1, 3, 251, 753
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 433,735,654,753,465, is 1.
Now, the common factors can be found like this.
433:433
735:3x 5x 7x 7
654:2x 3x 109
753:3x 251
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.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 72878749621650/(1x135)
LCM = 72878749621650/135
LCM = 539842589790
Thus, we can understand that the LCM of 433,735,654,753,465 is 539842589790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 735, 654, 753, 465
1. What is the LCM of 433, 735, 654, 753, 465?
Answer: LCM of 433, 735, 654, 753, 465 is 539842589790.
2. How to calculate the LCM of 433, 735, 654, 753, 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 433, 735, 654, 753, 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}.