LCM of 465, 298, 737, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 465, 298, 737, 596 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 465, 298, 737, 596. So, keep reading to learn more.
Given numbers are 465,298,737,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,298,737,596 is 204252180.
Find LCM of 465,298,737,596 with Prime Factorization
| 2 | 465, 298, 737, 596 |
| 149 | 465, 149, 737, 298 |
| 465, 1, 737, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 465 x 1 x 737 x 2 = 204252180
Therefore, the lowest common multiple of 465,298,737,596 is 204252180.
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.
465 x 298 x 737 x 596 = 60867149640
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
298 : 1, 2, 149, 298
737 : 1, 11, 67, 737
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,298,737,596, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
298:2x 149
737:11x 67
596:2x 2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 149 = 298
Therefore, the value for common factors is 298.
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 = 60867149640/(1x298)
LCM = 60867149640/298
LCM = 204252180
Thus, we can understand that the LCM of 465,298,737,596 is 204252180.
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FAQs on LCM of 465, 298, 737, 596
1. What is the LCM of 465, 298, 737, 596?
Answer: LCM of 465, 298, 737, 596 is 204252180.
2. How to calculate the LCM of 465, 298, 737, 596?
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 465, 298, 737, 596.
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}.