Find the LCM of 253, 574, 138, 294, 565 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 253, 574, 138, 294, 565. So, keep reading to learn more.
Given numbers are 253,574,138,294,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,574,138,294,565 is 1723059030.
Find LCM of 253,574,138,294,565 with Prime Factorization
2 | 253, 574, 138, 294, 565 |
3 | 253, 287, 69, 147, 565 |
7 | 253, 287, 23, 49, 565 |
23 | 253, 41, 23, 7, 565 |
11, 41, 1, 7, 565 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 11 x 41 x 1 x 7 x 565 = 1723059030
Therefore, the lowest common multiple of 253,574,138,294,565 is 1723059030.
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.
253 x 574 x 138 x 294 x 565 = 3328950045960
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.
253 : 1, 11, 23, 253
574 : 1, 2, 7, 14, 41, 82, 287, 574
138 : 1, 2, 3, 6, 23, 46, 69, 138
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,574,138,294,565, is 1.
Now, the common factors can be found like this.
253:11x 23
574:2x 7x 41
138:2x 3x 23
294:2x 3x 7x 7
565:5x 113
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 7x 23 = 1932
Therefore, the value for common factors is 1932.
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 = 3328950045960/(1x1932)
LCM = 3328950045960/1932
LCM = 1723059030
Thus, we can understand that the LCM of 253,574,138,294,565 is 1723059030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 574, 138, 294, 565?
Answer: LCM of 253, 574, 138, 294, 565 is 1723059030.
2. How to calculate the LCM of 253, 574, 138, 294, 565?
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 253, 574, 138, 294, 565.
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}.