LCM of 817, 642, 123, 266, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 817, 642, 123, 266, 574 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 817, 642, 123, 266, 574. So, keep reading to learn more.
Given numbers are 817,642,123,266,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,642,123,266,574 is 150535518.
Find LCM of 817,642,123,266,574 with Prime Factorization
| 2 | 817, 642, 123, 266, 574 |
| 3 | 817, 321, 123, 133, 287 |
| 7 | 817, 107, 41, 133, 287 |
| 19 | 817, 107, 41, 19, 41 |
| 41 | 43, 107, 41, 1, 41 |
| 43, 107, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 41 x 43 x 107 x 1 x 1 x 1 = 150535518
Therefore, the lowest common multiple of 817,642,123,266,574 is 150535518.
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.
817 x 642 x 123 x 266 x 574 = 9850442155848
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.
817 : 1, 19, 43, 817
642 : 1, 2, 3, 6, 107, 214, 321, 642
123 : 1, 3, 41, 123
266 : 1, 2, 7, 14, 19, 38, 133, 266
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,642,123,266,574, is 1.
Now, the common factors can be found like this.
817:19x 43
642:2x 3x 107
123:3x 41
266:2x 7x 19
574:2x 7x 41
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 7x 19x 41 = 65436
Therefore, the value for common factors is 65436.
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 = 9850442155848/(1x65436)
LCM = 9850442155848/65436
LCM = 150535518
Thus, we can understand that the LCM of 817,642,123,266,574 is 150535518.
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FAQs on LCM of 817, 642, 123, 266, 574
1. What is the LCM of 817, 642, 123, 266, 574?
Answer: LCM of 817, 642, 123, 266, 574 is 150535518.
2. How to calculate the LCM of 817, 642, 123, 266, 574?
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 817, 642, 123, 266, 574.
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}.