LCM of 403, 465, 520, 273, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 465, 520, 273, 753 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 403, 465, 520, 273, 753. So, keep reading to learn more.
Given numbers are 403,465,520,273,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,465,520,273,753 is 84968520.
Find LCM of 403,465,520,273,753 with Prime Factorization
| 3 | 403, 465, 520, 273, 753 |
| 5 | 403, 155, 520, 91, 251 |
| 13 | 403, 31, 104, 91, 251 |
| 31 | 31, 31, 8, 7, 251 |
| 1, 1, 8, 7, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 31 x 1 x 1 x 8 x 7 x 251 = 84968520
Therefore, the lowest common multiple of 403,465,520,273,753 is 84968520.
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.
403 x 465 x 520 x 273 x 753 = 20031753432600
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.
403 : 1, 13, 31, 403
465 : 1, 3, 5, 15, 31, 93, 155, 465
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
273 : 1, 3, 7, 13, 21, 39, 91, 273
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,465,520,273,753, is 1.
Now, the common factors can be found like this.
403:13x 31
465:3x 5x 31
520:2x 2x 2x 5x 13
273:3x 7x 13
753:3x 251
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 5x 13x 13x 31 = 235755
Therefore, the value for common factors is 235755.
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 = 20031753432600/(1x235755)
LCM = 20031753432600/235755
LCM = 84968520
Thus, we can understand that the LCM of 403,465,520,273,753 is 84968520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 465, 520, 273, 753
1. What is the LCM of 403, 465, 520, 273, 753?
Answer: LCM of 403, 465, 520, 273, 753 is 84968520.
2. How to calculate the LCM of 403, 465, 520, 273, 753?
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 403, 465, 520, 273, 753.
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}.