Find the LCM of 257, 598, 353, 169, 749 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 257, 598, 353, 169, 749. So, keep reading to learn more.
Given numbers are 257,598,353,169,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,598,353,169,749 is 528243525446.
Find LCM of 257,598,353,169,749 with Prime Factorization
13 | 257, 598, 353, 169, 749 |
257, 46, 353, 13, 749 |
Multiply the prime numbers at the bottom and the left side.
13 x 257 x 46 x 353 x 13 x 749 = 528243525446
Therefore, the lowest common multiple of 257,598,353,169,749 is 528243525446.
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.
257 x 598 x 353 x 169 x 749 = 6867165830798
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.
257 : 1, 257
598 : 1, 2, 13, 23, 26, 46, 299, 598
353 : 1, 353
169 : 1, 13, 169
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,598,353,169,749, is 1.
Now, the common factors can be found like this.
257:257
598:2x 13x 23
353:353
169:13x 13
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 6867165830798/(1x13)
LCM = 6867165830798/13
LCM = 528243525446
Thus, we can understand that the LCM of 257,598,353,169,749 is 528243525446.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 257, 598, 353, 169, 749?
Answer: LCM of 257, 598, 353, 169, 749 is 528243525446.
2. How to calculate the LCM of 257, 598, 353, 169, 749?
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 257, 598, 353, 169, 749.
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}.