LCM of 290, 564, 468, 854, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 564, 468, 854, 642 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 290, 564, 468, 854, 642. So, keep reading to learn more.
Given numbers are 290,564,468,854,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,564,468,854,642 is 145721410380.
Find LCM of 290,564,468,854,642 with Prime Factorization
| 2 | 290, 564, 468, 854, 642 |
| 2 | 145, 282, 234, 427, 321 |
| 3 | 145, 141, 117, 427, 321 |
| 145, 47, 39, 427, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 145 x 47 x 39 x 427 x 107 = 145721410380
Therefore, the lowest common multiple of 290,564,468,854,642 is 145721410380.
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.
290 x 564 x 468 x 854 x 642 = 41967766189440
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
854 : 1, 2, 7, 14, 61, 122, 427, 854
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,564,468,854,642, is 2.
Now, the common factors can be found like this.
290:2x 5x 29
564:2x 2x 3x 47
468:2x 2x 3x 3x 13
854:2x 7x 61
642:2x 3x 107
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 41967766189440/(2x144)
LCM = 41967766189440/288
LCM = 145721410380
Thus, we can understand that the LCM of 290,564,468,854,642 is 145721410380.
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FAQs on LCM of 290, 564, 468, 854, 642
1. What is the LCM of 290, 564, 468, 854, 642?
Answer: LCM of 290, 564, 468, 854, 642 is 145721410380.
2. How to calculate the LCM of 290, 564, 468, 854, 642?
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 290, 564, 468, 854, 642.
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}.