LCM of 521, 575, 494, 690, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 575, 494, 690, 650 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 521, 575, 494, 690, 650. So, keep reading to learn more.
Given numbers are 521,575,494,690,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,575,494,690,650 is 443970150.
Find LCM of 521,575,494,690,650 with Prime Factorization
| 2 | 521, 575, 494, 690, 650 |
| 5 | 521, 575, 247, 345, 325 |
| 5 | 521, 115, 247, 69, 65 |
| 13 | 521, 23, 247, 69, 13 |
| 23 | 521, 23, 19, 69, 1 |
| 521, 1, 19, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 13 x 23 x 521 x 1 x 19 x 3 x 1 = 443970150
Therefore, the lowest common multiple of 521,575,494,690,650 is 443970150.
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.
521 x 575 x 494 x 690 x 650 = 66373537425000
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.
521 : 1, 521
575 : 1, 5, 23, 25, 115, 575
494 : 1, 2, 13, 19, 26, 38, 247, 494
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,575,494,690,650, is 1.
Now, the common factors can be found like this.
521:521
575:5x 5x 23
494:2x 13x 19
690:2x 3x 5x 23
650:2x 5x 5x 13
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 5x 5x 5x 13x 23 = 149500
Therefore, the value for common factors is 149500.
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 = 66373537425000/(1x149500)
LCM = 66373537425000/149500
LCM = 443970150
Thus, we can understand that the LCM of 521,575,494,690,650 is 443970150.
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FAQs on LCM of 521, 575, 494, 690, 650
1. What is the LCM of 521, 575, 494, 690, 650?
Answer: LCM of 521, 575, 494, 690, 650 is 443970150.
2. How to calculate the LCM of 521, 575, 494, 690, 650?
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 521, 575, 494, 690, 650.
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}.