LCM of 359, 830, 264, 247, 332
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 830, 264, 247, 332 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 359, 830, 264, 247, 332. So, keep reading to learn more.
Given numbers are 359,830,264,247,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,830,264,247,332 is 9715013880.
Find LCM of 359,830,264,247,332 with Prime Factorization
| 2 | 359, 830, 264, 247, 332 |
| 2 | 359, 415, 132, 247, 166 |
| 83 | 359, 415, 66, 247, 83 |
| 359, 5, 66, 247, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 83 x 359 x 5 x 66 x 247 x 1 = 9715013880
Therefore, the lowest common multiple of 359,830,264,247,332 is 9715013880.
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.
359 x 830 x 264 x 247 x 332 = 6450769216320
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.
359 : 1, 359
830 : 1, 2, 5, 10, 83, 166, 415, 830
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
247 : 1, 13, 19, 247
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,830,264,247,332, is 1.
Now, the common factors can be found like this.
359:359
830:2x 5x 83
264:2x 2x 2x 3x 11
247:13x 19
332:2x 2x 83
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 83 = 664
Therefore, the value for common factors is 664.
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 = 6450769216320/(1x664)
LCM = 6450769216320/664
LCM = 9715013880
Thus, we can understand that the LCM of 359,830,264,247,332 is 9715013880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 359, 830, 264, 247, 332
1. What is the LCM of 359, 830, 264, 247, 332?
Answer: LCM of 359, 830, 264, 247, 332 is 9715013880.
2. How to calculate the LCM of 359, 830, 264, 247, 332?
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 359, 830, 264, 247, 332.
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}.