LCM of 594, 341, 564, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 341, 564, 217 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 594, 341, 564, 217. So, keep reading to learn more.
Given numbers are 594,341,564,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,341,564,217 is 12116412.
Find LCM of 594,341,564,217 with Prime Factorization
| 2 | 594, 341, 564, 217 |
| 3 | 297, 341, 282, 217 |
| 11 | 99, 341, 94, 217 |
| 31 | 9, 31, 94, 217 |
| 9, 1, 94, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 9 x 1 x 94 x 7 = 12116412
Therefore, the lowest common multiple of 594,341,564,217 is 12116412.
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.
594 x 341 x 564 x 217 = 24790178952
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
341 : 1, 11, 31, 341
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,341,564,217, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
341:11x 31
564:2x 2x 3x 47
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 31 = 2046
Therefore, the value for common factors is 2046.
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 = 24790178952/(1x2046)
LCM = 24790178952/2046
LCM = 12116412
Thus, we can understand that the LCM of 594,341,564,217 is 12116412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 594, 341, 564, 217
1. What is the LCM of 594, 341, 564, 217?
Answer: LCM of 594, 341, 564, 217 is 12116412.
2. How to calculate the LCM of 594, 341, 564, 217?
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 594, 341, 564, 217.
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}.