LCM of 513, 426, 798, 934, 619
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 426, 798, 934, 619 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 513, 426, 798, 934, 619. So, keep reading to learn more.
Given numbers are 513,426,798,934,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,426,798,934,619 is 147404682306.
Find LCM of 513,426,798,934,619 with Prime Factorization
| 2 | 513, 426, 798, 934, 619 |
| 3 | 513, 213, 399, 467, 619 |
| 19 | 171, 71, 133, 467, 619 |
| 9, 71, 7, 467, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 9 x 71 x 7 x 467 x 619 = 147404682306
Therefore, the lowest common multiple of 513,426,798,934,619 is 147404682306.
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.
513 x 426 x 798 x 934 x 619 = 100824802697304
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
426 : 1, 2, 3, 6, 71, 142, 213, 426
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
934 : 1, 2, 467, 934
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,426,798,934,619, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
426:2x 3x 71
798:2x 3x 7x 19
934:2x 467
619:619
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 19 = 684
Therefore, the value for common factors is 684.
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 = 100824802697304/(1x684)
LCM = 100824802697304/684
LCM = 147404682306
Thus, we can understand that the LCM of 513,426,798,934,619 is 147404682306.
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FAQs on LCM of 513, 426, 798, 934, 619
1. What is the LCM of 513, 426, 798, 934, 619?
Answer: LCM of 513, 426, 798, 934, 619 is 147404682306.
2. How to calculate the LCM of 513, 426, 798, 934, 619?
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 513, 426, 798, 934, 619.
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}.