LCM of 652, 126, 326, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 126, 326, 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 652, 126, 326, 245. So, keep reading to learn more.
Given numbers are 652,126,326,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,126,326,245 is 1437660.
Find LCM of 652,126,326,245 with Prime Factorization
| 2 | 652, 126, 326, 245 |
| 7 | 326, 63, 163, 245 |
| 163 | 326, 9, 163, 35 |
| 2, 9, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 163 x 2 x 9 x 1 x 35 = 1437660
Therefore, the lowest common multiple of 652,126,326,245 is 1437660.
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.
652 x 126 x 326 x 245 = 6561480240
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.
652 : 1, 2, 4, 163, 326, 652
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
326 : 1, 2, 163, 326
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 652,126,326,245, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
126:2x 3x 3x 7
326:2x 163
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 7x 163 = 4564
Therefore, the value for common factors is 4564.
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 = 6561480240/(1x4564)
LCM = 6561480240/4564
LCM = 1437660
Thus, we can understand that the LCM of 652,126,326,245 is 1437660.
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FAQs on LCM of 652, 126, 326, 245
1. What is the LCM of 652, 126, 326, 245?
Answer: LCM of 652, 126, 326, 245 is 1437660.
2. How to calculate the LCM of 652, 126, 326, 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 652, 126, 326, 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}.