LCM of 742, 283, 459, 918, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 283, 459, 918, 598 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 742, 283, 459, 918, 598. So, keep reading to learn more.
Given numbers are 742,283,459,918,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,283,459,918,598 is 28818688626.
Find LCM of 742,283,459,918,598 with Prime Factorization
| 2 | 742, 283, 459, 918, 598 |
| 3 | 371, 283, 459, 459, 299 |
| 3 | 371, 283, 153, 153, 299 |
| 3 | 371, 283, 51, 51, 299 |
| 17 | 371, 283, 17, 17, 299 |
| 371, 283, 1, 1, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 371 x 283 x 1 x 1 x 299 = 28818688626
Therefore, the lowest common multiple of 742,283,459,918,598 is 28818688626.
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.
742 x 283 x 459 x 918 x 598 = 52911112317336
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
283 : 1, 283
459 : 1, 3, 9, 17, 27, 51, 153, 459
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,283,459,918,598, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
283:283
459:3x 3x 3x 17
918:2x 3x 3x 3x 17
598:2x 13x 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 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 52911112317336/(1x1836)
LCM = 52911112317336/1836
LCM = 28818688626
Thus, we can understand that the LCM of 742,283,459,918,598 is 28818688626.
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FAQs on LCM of 742, 283, 459, 918, 598
1. What is the LCM of 742, 283, 459, 918, 598?
Answer: LCM of 742, 283, 459, 918, 598 is 28818688626.
2. How to calculate the LCM of 742, 283, 459, 918, 598?
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 742, 283, 459, 918, 598.
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}.