LCM of 842, 748, 882, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 748, 882, 594 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 842, 748, 882, 594. So, keep reading to learn more.
Given numbers are 842,748,882,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,748,882,594 is 416623284.
Find LCM of 842,748,882,594 with Prime Factorization
| 2 | 842, 748, 882, 594 |
| 3 | 421, 374, 441, 297 |
| 3 | 421, 374, 147, 99 |
| 11 | 421, 374, 49, 33 |
| 421, 34, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 421 x 34 x 49 x 3 = 416623284
Therefore, the lowest common multiple of 842,748,882,594 is 416623284.
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.
842 x 748 x 882 x 594 = 329965640928
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.
842 : 1, 2, 421, 842
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,748,882,594, is 2.
Now, the common factors can be found like this.
842:2x 421
748:2x 2x 11x 17
882:2x 3x 3x 7x 7
594:2x 3x 3x 3x 11
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 329965640928/(2x396)
LCM = 329965640928/792
LCM = 416623284
Thus, we can understand that the LCM of 842,748,882,594 is 416623284.
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FAQs on LCM of 842, 748, 882, 594
1. What is the LCM of 842, 748, 882, 594?
Answer: LCM of 842, 748, 882, 594 is 416623284.
2. How to calculate the LCM of 842, 748, 882, 594?
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 842, 748, 882, 594.
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}.