LCM of 322, 688, 559, 368, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 688, 559, 368, 421 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 322, 688, 559, 368, 421. So, keep reading to learn more.
Given numbers are 322,688,559,368,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,688,559,368,421 is 606233264.
Find LCM of 322,688,559,368,421 with Prime Factorization
| 2 | 322, 688, 559, 368, 421 |
| 2 | 161, 344, 559, 184, 421 |
| 2 | 161, 172, 559, 92, 421 |
| 2 | 161, 86, 559, 46, 421 |
| 23 | 161, 43, 559, 23, 421 |
| 43 | 7, 43, 559, 1, 421 |
| 7, 1, 13, 1, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 43 x 7 x 1 x 13 x 1 x 421 = 606233264
Therefore, the lowest common multiple of 322,688,559,368,421 is 606233264.
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.
322 x 688 x 559 x 368 x 421 = 19186070339072
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
559 : 1, 13, 43, 559
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,688,559,368,421, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
688:2x 2x 2x 2x 43
559:13x 43
368:2x 2x 2x 2x 23
421:421
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 2x 2x 23x 43 = 31648
Therefore, the value for common factors is 31648.
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 = 19186070339072/(1x31648)
LCM = 19186070339072/31648
LCM = 606233264
Thus, we can understand that the LCM of 322,688,559,368,421 is 606233264.
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FAQs on LCM of 322, 688, 559, 368, 421
1. What is the LCM of 322, 688, 559, 368, 421?
Answer: LCM of 322, 688, 559, 368, 421 is 606233264.
2. How to calculate the LCM of 322, 688, 559, 368, 421?
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 322, 688, 559, 368, 421.
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}.