LCM of 564, 329, 649, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 329, 649, 319 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 564, 329, 649, 319. So, keep reading to learn more.
Given numbers are 564,329,649,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,329,649,319 is 74305308.
Find LCM of 564,329,649,319 with Prime Factorization
| 11 | 564, 329, 649, 319 |
| 47 | 564, 329, 59, 29 |
| 12, 7, 59, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 12 x 7 x 59 x 29 = 74305308
Therefore, the lowest common multiple of 564,329,649,319 is 74305308.
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.
564 x 329 x 649 x 319 = 38415844236
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
329 : 1, 7, 47, 329
649 : 1, 11, 59, 649
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,329,649,319, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
329:7x 47
649:11x 59
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 47 = 517
Therefore, the value for common factors is 517.
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 = 38415844236/(1x517)
LCM = 38415844236/517
LCM = 74305308
Thus, we can understand that the LCM of 564,329,649,319 is 74305308.
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FAQs on LCM of 564, 329, 649, 319
1. What is the LCM of 564, 329, 649, 319?
Answer: LCM of 564, 329, 649, 319 is 74305308.
2. How to calculate the LCM of 564, 329, 649, 319?
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 564, 329, 649, 319.
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}.