LCM of 517, 748, 219, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 748, 219, 609 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 517, 748, 219, 609. So, keep reading to learn more.
Given numbers are 517,748,219,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,748,219,609 is 1562930292.
Find LCM of 517,748,219,609 with Prime Factorization
| 3 | 517, 748, 219, 609 |
| 11 | 517, 748, 73, 203 |
| 47, 68, 73, 203 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 47 x 68 x 73 x 203 = 1562930292
Therefore, the lowest common multiple of 517,748,219,609 is 1562930292.
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.
517 x 748 x 219 x 609 = 51576699636
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.
517 : 1, 11, 47, 517
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
219 : 1, 3, 73, 219
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,748,219,609, is 1.
Now, the common factors can be found like this.
517:11x 47
748:2x 2x 11x 17
219:3x 73
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 51576699636/(1x33)
LCM = 51576699636/33
LCM = 1562930292
Thus, we can understand that the LCM of 517,748,219,609 is 1562930292.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 748, 219, 609
1. What is the LCM of 517, 748, 219, 609?
Answer: LCM of 517, 748, 219, 609 is 1562930292.
2. How to calculate the LCM of 517, 748, 219, 609?
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 517, 748, 219, 609.
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}.