LCM of 243, 358, 264, 527, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 358, 264, 527, 334 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 243, 358, 264, 527, 334. So, keep reading to learn more.
Given numbers are 243,358,264,527,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,358,264,527,334 is 336875217624.
Find LCM of 243,358,264,527,334 with Prime Factorization
| 2 | 243, 358, 264, 527, 334 |
| 3 | 243, 179, 132, 527, 167 |
| 81, 179, 44, 527, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 81 x 179 x 44 x 527 x 167 = 336875217624
Therefore, the lowest common multiple of 243,358,264,527,334 is 336875217624.
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.
243 x 358 x 264 x 527 x 334 = 4042502611488
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.
243 : 1, 3, 9, 27, 81, 243
358 : 1, 2, 179, 358
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
527 : 1, 17, 31, 527
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,358,264,527,334, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
358:2x 179
264:2x 2x 2x 3x 11
527:17x 31
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 4042502611488/(1x12)
LCM = 4042502611488/12
LCM = 336875217624
Thus, we can understand that the LCM of 243,358,264,527,334 is 336875217624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 243, 358, 264, 527, 334
1. What is the LCM of 243, 358, 264, 527, 334?
Answer: LCM of 243, 358, 264, 527, 334 is 336875217624.
2. How to calculate the LCM of 243, 358, 264, 527, 334?
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 243, 358, 264, 527, 334.
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}.