LCM of 922, 219, 264, 242, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 219, 264, 242, 358 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 922, 219, 264, 242, 358. So, keep reading to learn more.
Given numbers are 922,219,264,242,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,219,264,242,358 is 17493367848.
Find LCM of 922,219,264,242,358 with Prime Factorization
| 2 | 922, 219, 264, 242, 358 |
| 3 | 461, 219, 132, 121, 179 |
| 11 | 461, 73, 44, 121, 179 |
| 461, 73, 4, 11, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 461 x 73 x 4 x 11 x 179 = 17493367848
Therefore, the lowest common multiple of 922,219,264,242,358 is 17493367848.
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.
922 x 219 x 264 x 242 x 358 = 4618249111872
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.
922 : 1, 2, 461, 922
219 : 1, 3, 73, 219
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
242 : 1, 2, 11, 22, 121, 242
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,219,264,242,358, is 1.
Now, the common factors can be found like this.
922:2x 461
219:3x 73
264:2x 2x 2x 3x 11
242:2x 11x 11
358:2x 179
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 4618249111872/(1x264)
LCM = 4618249111872/264
LCM = 17493367848
Thus, we can understand that the LCM of 922,219,264,242,358 is 17493367848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 922, 219, 264, 242, 358
1. What is the LCM of 922, 219, 264, 242, 358?
Answer: LCM of 922, 219, 264, 242, 358 is 17493367848.
2. How to calculate the LCM of 922, 219, 264, 242, 358?
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 922, 219, 264, 242, 358.
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}.