LCM of 564, 724, 668, 309, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 724, 668, 309, 782 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, 724, 668, 309, 782. So, keep reading to learn more.
Given numbers are 564,724,668,309,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,724,668,309,782 is 686575231644.
Find LCM of 564,724,668,309,782 with Prime Factorization
| 2 | 564, 724, 668, 309, 782 |
| 2 | 282, 362, 334, 309, 391 |
| 3 | 141, 181, 167, 309, 391 |
| 47, 181, 167, 103, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 181 x 167 x 103 x 391 = 686575231644
Therefore, the lowest common multiple of 564,724,668,309,782 is 686575231644.
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 724 x 668 x 309 x 782 = 65911222237824
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
724 : 1, 2, 4, 181, 362, 724
668 : 1, 2, 4, 167, 334, 668
309 : 1, 3, 103, 309
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,724,668,309,782, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
724:2x 2x 181
668:2x 2x 167
309:3x 103
782:2x 17x 23
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 = 65911222237824/(1x96)
LCM = 65911222237824/96
LCM = 686575231644
Thus, we can understand that the LCM of 564,724,668,309,782 is 686575231644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 564, 724, 668, 309, 782
1. What is the LCM of 564, 724, 668, 309, 782?
Answer: LCM of 564, 724, 668, 309, 782 is 686575231644.
2. How to calculate the LCM of 564, 724, 668, 309, 782?
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, 724, 668, 309, 782.
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}.