LCM of 564, 334, 588, 509, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 334, 588, 509, 796 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, 334, 588, 509, 796. So, keep reading to learn more.
Given numbers are 564,334,588,509,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,334,588,509,796 is 467479438692.
Find LCM of 564,334,588,509,796 with Prime Factorization
| 2 | 564, 334, 588, 509, 796 |
| 2 | 282, 167, 294, 509, 398 |
| 3 | 141, 167, 147, 509, 199 |
| 47, 167, 49, 509, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 167 x 49 x 509 x 199 = 467479438692
Therefore, the lowest common multiple of 564,334,588,509,796 is 467479438692.
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 334 x 588 x 509 x 796 = 44878026114432
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
334 : 1, 2, 167, 334
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
509 : 1, 509
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,334,588,509,796, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
334:2x 167
588:2x 2x 3x 7x 7
509:509
796:2x 2x 199
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 3 = 96
Therefore, the value for common factors is 96.
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 = 44878026114432/(1x96)
LCM = 44878026114432/96
LCM = 467479438692
Thus, we can understand that the LCM of 564,334,588,509,796 is 467479438692.
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FAQs on LCM of 564, 334, 588, 509, 796
1. What is the LCM of 564, 334, 588, 509, 796?
Answer: LCM of 564, 334, 588, 509, 796 is 467479438692.
2. How to calculate the LCM of 564, 334, 588, 509, 796?
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, 334, 588, 509, 796.
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}.