LCM of 598, 744, 845, 390, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 744, 845, 390, 684 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 598, 744, 845, 390, 684. So, keep reading to learn more.
Given numbers are 598,744,845,390,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,744,845,390,684 is 824199480.
Find LCM of 598,744,845,390,684 with Prime Factorization
| 2 | 598, 744, 845, 390, 684 |
| 2 | 299, 372, 845, 195, 342 |
| 3 | 299, 186, 845, 195, 171 |
| 5 | 299, 62, 845, 65, 57 |
| 13 | 299, 62, 169, 13, 57 |
| 23, 62, 1, 13, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 23 x 62 x 1 x 13 x 57 = 824199480
Therefore, the lowest common multiple of 598,744,845,390,684 is 824199480.
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.
598 x 744 x 845 x 390 x 684 = 100288592726400
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
845 : 1, 5, 13, 65, 169, 845
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,744,845,390,684, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
744:2x 2x 2x 3x 31
845:5x 13x 13
390:2x 3x 5x 13
684:2x 2x 3x 3x 19
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 3x 5x 13x 13 = 121680
Therefore, the value for common factors is 121680.
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 = 100288592726400/(1x121680)
LCM = 100288592726400/121680
LCM = 824199480
Thus, we can understand that the LCM of 598,744,845,390,684 is 824199480.
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FAQs on LCM of 598, 744, 845, 390, 684
1. What is the LCM of 598, 744, 845, 390, 684?
Answer: LCM of 598, 744, 845, 390, 684 is 824199480.
2. How to calculate the LCM of 598, 744, 845, 390, 684?
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 598, 744, 845, 390, 684.
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}.