LCM of 535, 742, 570, 126, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 742, 570, 126, 245 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 535, 742, 570, 126, 245. So, keep reading to learn more.
Given numbers are 535,742,570,126,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,742,570,126,245 is 475173090.
Find LCM of 535,742,570,126,245 with Prime Factorization
| 2 | 535, 742, 570, 126, 245 |
| 3 | 535, 371, 285, 63, 245 |
| 5 | 535, 371, 95, 21, 245 |
| 7 | 107, 371, 19, 21, 49 |
| 107, 53, 19, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 107 x 53 x 19 x 3 x 7 = 475173090
Therefore, the lowest common multiple of 535,742,570,126,245 is 475173090.
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.
535 x 742 x 570 x 126 x 245 = 6985044423000
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.
535 : 1, 5, 107, 535
742 : 1, 2, 7, 14, 53, 106, 371, 742
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,742,570,126,245, is 1.
Now, the common factors can be found like this.
535:5x 107
742:2x 7x 53
570:2x 3x 5x 19
126:2x 3x 3x 7
245:5x 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 2x 3x 5x 5x 7x 7 = 14700
Therefore, the value for common factors is 14700.
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 = 6985044423000/(1x14700)
LCM = 6985044423000/14700
LCM = 475173090
Thus, we can understand that the LCM of 535,742,570,126,245 is 475173090.
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FAQs on LCM of 535, 742, 570, 126, 245
1. What is the LCM of 535, 742, 570, 126, 245?
Answer: LCM of 535, 742, 570, 126, 245 is 475173090.
2. How to calculate the LCM of 535, 742, 570, 126, 245?
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 535, 742, 570, 126, 245.
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}.