LCM of 297, 559, 914, 117, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 559, 914, 117, 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 297, 559, 914, 117, 753. So, keep reading to learn more.
Given numbers are 297,559,914,117,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,559,914,117,753 is 38088000522.
Find LCM of 297,559,914,117,753 with Prime Factorization
| 3 | 297, 559, 914, 117, 753 |
| 3 | 99, 559, 914, 39, 251 |
| 13 | 33, 559, 914, 13, 251 |
| 33, 43, 914, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 33 x 43 x 914 x 1 x 251 = 38088000522
Therefore, the lowest common multiple of 297,559,914,117,753 is 38088000522.
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.
297 x 559 x 914 x 117 x 753 = 13368888183222
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
559 : 1, 13, 43, 559
914 : 1, 2, 457, 914
117 : 1, 3, 9, 13, 39, 117
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,559,914,117,753, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
559:13x 43
914:2x 457
117:3x 3x 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 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 13368888183222/(1x351)
LCM = 13368888183222/351
LCM = 38088000522
Thus, we can understand that the LCM of 297,559,914,117,753 is 38088000522.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 559, 914, 117, 753
1. What is the LCM of 297, 559, 914, 117, 753?
Answer: LCM of 297, 559, 914, 117, 753 is 38088000522.
2. How to calculate the LCM of 297, 559, 914, 117, 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 297, 559, 914, 117, 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}.