LCM of 575, 535, 260, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 535, 260, 490 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 575, 535, 260, 490. So, keep reading to learn more.
Given numbers are 575,535,260,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,535,260,490 is 156765700.
Find LCM of 575,535,260,490 with Prime Factorization
| 2 | 575, 535, 260, 490 |
| 5 | 575, 535, 130, 245 |
| 115, 107, 26, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 115 x 107 x 26 x 49 = 156765700
Therefore, the lowest common multiple of 575,535,260,490 is 156765700.
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.
575 x 535 x 260 x 490 = 39191425000
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.
575 : 1, 5, 23, 25, 115, 575
535 : 1, 5, 107, 535
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,535,260,490, is 5.
Now, the common factors can be found like this.
575:5x 5x 23
535:5x 107
260:2x 2x 5x 13
490:2x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 39191425000/(5x50)
LCM = 39191425000/250
LCM = 156765700
Thus, we can understand that the LCM of 575,535,260,490 is 156765700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 575, 535, 260, 490
1. What is the LCM of 575, 535, 260, 490?
Answer: LCM of 575, 535, 260, 490 is 156765700.
2. How to calculate the LCM of 575, 535, 260, 490?
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 575, 535, 260, 490.
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}.