LCM of 367, 261, 597, 580, 597
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 261, 597, 580, 597 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 367, 261, 597, 580, 597. So, keep reading to learn more.
Given numbers are 367,261,597,580,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,261,597,580,597 is 381232260.
Find LCM of 367,261,597,580,597 with Prime Factorization
| 3 | 367, 261, 597, 580, 597 |
| 29 | 367, 87, 199, 580, 199 |
| 199 | 367, 3, 199, 20, 199 |
| 367, 3, 1, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 199 x 367 x 3 x 1 x 20 x 1 = 381232260
Therefore, the lowest common multiple of 367,261,597,580,597 is 381232260.
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.
367 x 261 x 597 x 580 x 597 = 19800822352140
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.
367 : 1, 367
261 : 1, 3, 9, 29, 87, 261
597 : 1, 3, 199, 597
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,261,597,580,597, is 1.
Now, the common factors can be found like this.
367:367
261:3x 3x 29
597:3x 199
580:2x 2x 5x 29
597:3x 199
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 29x 199 = 51939
Therefore, the value for common factors is 51939.
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 = 19800822352140/(1x51939)
LCM = 19800822352140/51939
LCM = 381232260
Thus, we can understand that the LCM of 367,261,597,580,597 is 381232260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 367, 261, 597, 580, 597
1. What is the LCM of 367, 261, 597, 580, 597?
Answer: LCM of 367, 261, 597, 580, 597 is 381232260.
2. How to calculate the LCM of 367, 261, 597, 580, 597?
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 367, 261, 597, 580, 597.
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}.